diff --git a/.gitignore b/.gitignore
index fadc7c1..4dc5d03 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,2 +1,3 @@
 /vendor
 .env
+.phpunit.result.cache
diff --git a/changelog.md b/changelog.md
index 156351e..70204ef 100644
--- a/changelog.md
+++ b/changelog.md
@@ -2,6 +2,19 @@
 
 All notable changes to `laravel-astronomy-library` will be documented in this file.
 
+## Version 4.7
+
+### Added
+
+- Add precession method for EquatorialCoordinates to calculate the precession for a given date with low accuracy.  The proper motion of the star is taken into account for the calculation of the precession.
+- Add precessionHighAccuracy for EquatorialCoordinates method to calculate the precession for a given date with high accuracy.  The proper motion of the star is taken into account for the calculation of the precession.
+- Add precessionHighAccuracy for EclipticalCoordinates method to calculate the precession for a given date with high accuracy.  The proper motion of the star is not taken into account for the calculation of the precession.
+
+### Changed
+
+- The constructor of the EquatorialCoordinates class now also takes the epoch of the coordinate as argument.  If the epoch is not given, the standard epoch of 2000.0 is taken.
+- The constructor of the EquatorialCoordinates class now also takes the proper motion (in RA and in dec) as arguments.  If the proper motion is not given, the value of 0.0 is taken.
+
 ## Version 4.6
 
 ### Added
diff --git a/composer.json b/composer.json
index be19a12..446a2d8 100644
--- a/composer.json
+++ b/composer.json
@@ -13,7 +13,7 @@
     "keywords": ["Laravel", "laravel-astronomylibrary"],
     "require": {
         "php": ">=7.4",
-        "laravel/framework": "^7.0",
+        "laravel/framework": "^7.0|^8.0",
         "maatwebsite/excel": "^3.1"
     },
     "require-dev": {
diff --git a/composer.lock b/composer.lock
index cfcfb50..72ff3f7 100644
--- a/composer.lock
+++ b/composer.lock
@@ -4,20 +4,20 @@
         "Read more about it at https://getcomposer.org/doc/01-basic-usage.md#installing-dependencies",
         "This file is @generated automatically"
     ],
-    "content-hash": "eedf082343c40416bcfd6c2bdfa95690",
+    "content-hash": "7d3842ac772372cc7721a011c8c711f3",
     "packages": [
         {
             "name": "brick/math",
-            "version": "0.8.15",
+            "version": "0.9.1",
             "source": {
                 "type": "git",
                 "url": "https://github.com/brick/math.git",
-                "reference": "9b08d412b9da9455b210459ff71414de7e6241cd"
+                "reference": "283a40c901101e66de7061bd359252c013dcc43c"
             },
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                 "type": "zip",
-                "url": "https://api.github.com/repos/brick/math/zipball/9b08d412b9da9455b210459ff71414de7e6241cd",
-                "reference": "9b08d412b9da9455b210459ff71414de7e6241cd",
+                "url": "https://api.github.com/repos/brick/math/zipball/283a40c901101e66de7061bd359252c013dcc43c",
+                "reference": "283a40c901101e66de7061bd359252c013dcc43c",
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             "require": {
@@ -50,7 +50,13 @@
                 "brick",
                 "math"
             ],
-            "time": "2020-04-15T15:59:35+00:00"
+            "funding": [
+                {
+                    "url": "https://tidelift.com/funding/github/packagist/brick/math",
+                    "type": "tidelift"
+                }
+            ],
+            "time": "2020-08-18T23:57:15+00:00"
         },
         {
             "name": "doctrine/inflector",
@@ -275,16 +281,16 @@
         },
         {
             "name": "egulias/email-validator",
-            "version": "2.1.18",
+            "version": "2.1.20",
             "source": {
                 "type": "git",
                 "url": "https://github.com/egulias/EmailValidator.git",
-                "reference": "cfa3d44471c7f5bfb684ac2b0da7114283d78441"
+                "reference": "f46887bc48db66c7f38f668eb7d6ae54583617ff"
             },
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-                "url": "https://api.github.com/repos/egulias/EmailValidator/zipball/cfa3d44471c7f5bfb684ac2b0da7114283d78441",
-                "reference": "cfa3d44471c7f5bfb684ac2b0da7114283d78441",
+                "url": "https://api.github.com/repos/egulias/EmailValidator/zipball/f46887bc48db66c7f38f668eb7d6ae54583617ff",
+                "reference": "f46887bc48db66c7f38f668eb7d6ae54583617ff",
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@@ -329,20 +335,20 @@
                 "validation",
                 "validator"
             ],
-            "time": "2020-06-16T20:11:17+00:00"
+            "time": "2020-09-06T13:44:32+00:00"
         },
         {
             "name": "laravel/framework",
-            "version": "v7.22.4",
+            "version": "v7.28.0",
             "source": {
                 "type": "git",
                 "url": "https://github.com/laravel/framework.git",
-                "reference": "30e851a2b3a2af73fba0b7f4fa22b04260db98e7"
+                "reference": "5d3b4e3e62294716e3c810be3d2eb1375685b87d"
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-                "reference": "30e851a2b3a2af73fba0b7f4fa22b04260db98e7",
+                "url": "https://api.github.com/repos/laravel/framework/zipball/5d3b4e3e62294716e3c810be3d2eb1375685b87d",
+                "reference": "5d3b4e3e62294716e3c810be3d2eb1375685b87d",
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@@ -448,6 +454,7 @@
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                 "pda/pheanstalk": "Required to use the beanstalk queue driver (^4.0).",
                 "phpunit/phpunit": "Required to use assertions and run tests (^8.4|^9.0).",
+                "predis/predis": "Required to use the predis connector (^1.1.2).",
                 "psr/http-message": "Required to allow Storage::put to accept a StreamInterface (^1.0).",
                 "pusher/pusher-php-server": "Required to use the Pusher broadcast driver (^4.0).",
                 "symfony/cache": "Required to PSR-6 cache bridge (^5.0).",
@@ -486,20 +493,20 @@
                 "framework",
                 "laravel"
             ],
-            "time": "2020-07-27T18:25:06+00:00"
+            "time": "2020-09-08T15:10:40+00:00"
         },
         {
             "name": "league/commonmark",
-            "version": "1.5.3",
+            "version": "1.5.4",
             "source": {
                 "type": "git",
                 "url": "https://github.com/thephpleague/commonmark.git",
-                "reference": "2574454b97e4103dc4e36917bd783b25624aefcd"
+                "reference": "21819c989e69bab07e933866ad30c7e3f32984ba"
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-                "reference": "2574454b97e4103dc4e36917bd783b25624aefcd",
+                "url": "https://api.github.com/repos/thephpleague/commonmark/zipball/21819c989e69bab07e933866ad30c7e3f32984ba",
+                "reference": "21819c989e69bab07e933866ad30c7e3f32984ba",
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@@ -581,32 +588,33 @@
                     "type": "tidelift"
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-            "time": "2020-07-19T22:47:30+00:00"
+            "time": "2020-08-18T01:19:12+00:00"
         },
         {
             "name": "league/flysystem",
-            "version": "1.0.70",
+            "version": "1.1.3",
             "source": {
                 "type": "git",
                 "url": "https://github.com/thephpleague/flysystem.git",
-                "reference": "585824702f534f8d3cf7fab7225e8466cc4b7493"
+                "reference": "9be3b16c877d477357c015cec057548cf9b2a14a"
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-                "reference": "585824702f534f8d3cf7fab7225e8466cc4b7493",
+                "url": "https://api.github.com/repos/thephpleague/flysystem/zipball/9be3b16c877d477357c015cec057548cf9b2a14a",
+                "reference": "9be3b16c877d477357c015cec057548cf9b2a14a",
                 "shasum": ""
             },
             "require": {
                 "ext-fileinfo": "*",
-                "php": ">=5.5.9"
+                "league/mime-type-detection": "^1.3",
+                "php": "^7.2.5 || ^8.0"
             },
             "conflict": {
                 "league/flysystem-sftp": "<1.0.6"
             },
             "require-dev": {
-                "phpspec/phpspec": "^3.4 || ^4.0 || ^5.0 || ^6.0",
-                "phpunit/phpunit": "^5.7.26"
+                "phpspec/prophecy": "^1.11.1",
+                "phpunit/phpunit": "^8.5.8"
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@@ -671,31 +679,81 @@
                     "type": "other"
                 }
             ],
-            "time": "2020-07-26T07:20:36+00:00"
+            "time": "2020-08-23T07:39:11+00:00"
+        },
+        {
+            "name": "league/mime-type-detection",
+            "version": "1.4.0",
+            "source": {
+                "type": "git",
+                "url": "https://github.com/thephpleague/mime-type-detection.git",
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+                "shasum": ""
+            },
+            "require": {
+                "ext-fileinfo": "*",
+                "php": "^7.2 || ^8.0"
+            },
+            "require-dev": {
+                "phpstan/phpstan": "^0.12.36",
+                "phpunit/phpunit": "^8.5.8"
+            },
+            "type": "library",
+            "autoload": {
+                "psr-4": {
+                    "League\\MimeTypeDetection\\": "src"
+                }
+            },
+            "notification-url": "https://packagist.org/downloads/",
+            "license": [
+                "MIT"
+            ],
+            "authors": [
+                {
+                    "name": "Frank de Jonge",
+                    "email": "info@frankdejonge.nl"
+                }
+            ],
+            "description": "Mime-type detection for Flysystem",
+            "funding": [
+                {
+                    "url": "https://github.com/frankdejonge",
+                    "type": "github"
+                },
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+                    "url": "https://tidelift.com/funding/github/packagist/league/flysystem",
+                    "type": "tidelift"
+                }
+            ],
+            "time": "2020-08-09T10:34:01+00:00"
         },
         {
             "name": "maatwebsite/excel",
-            "version": "3.1.20",
+            "version": "3.1.22",
             "source": {
                 "type": "git",
                 "url": "https://github.com/Maatwebsite/Laravel-Excel.git",
-                "reference": "39545fa96b84d5a90f702239659c49a5d7b1edea"
+                "reference": "ba7152670257ba9f47bb6ff7cee025f8fc9da608"
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-                "reference": "39545fa96b84d5a90f702239659c49a5d7b1edea",
+                "url": "https://api.github.com/repos/Maatwebsite/Laravel-Excel/zipball/ba7152670257ba9f47bb6ff7cee025f8fc9da608",
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             "require": {
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-                "illuminate/support": "5.5.*|5.6.*|5.7.*|5.8.*|^6.0|^7.0",
+                "illuminate/support": "5.5.*|5.6.*|5.7.*|5.8.*|^6.0|^7.0|^8.0",
                 "php": "^7.0",
                 "phpoffice/phpspreadsheet": "^1.14"
             },
             "require-dev": {
-                "orchestra/database": "^5.0",
-                "orchestra/testbench": "^5.0",
+                "orchestra/testbench": "^6.0",
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@@ -746,7 +804,7 @@
                     "type": "github"
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-            "time": "2020-07-17T20:39:28+00:00"
+            "time": "2020-09-08T15:29:50+00:00"
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@@ -817,28 +875,28 @@
         },
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-            "version": "1.4.8",
+            "version": "1.5.0",
             "source": {
                 "type": "git",
                 "url": "https://github.com/MarkBaker/PHPComplex.git",
-                "reference": "8eaa40cceec7bf0518187530b2e63871be661b72"
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             },
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-                "php": "^5.6.0|^7.0.0"
+                "php": "^5.6.0|^7.0"
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                 "phpcompatibility/php-compatibility": "^9.0",
                 "phpdocumentor/phpdocumentor": "2.*",
-                "phploc/phploc": "2.*",
+                "phploc/phploc": "^4.0|^5.0|^6.0|^7.0",
                 "phpmd/phpmd": "2.*",
-                "phpunit/phpunit": "^4.8.35|^5.4.0",
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@@ -908,20 +966,20 @@
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                 "mathematics"
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+            "time": "2020-08-26T19:47:57+00:00"
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-            "version": "1.2.0",
+            "version": "1.2.1",
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@@ -932,7 +990,7 @@
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                 "phpmd/phpmd": "dev-master",
-                "phpunit/phpunit": "^5.7",
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@@ -977,7 +1035,7 @@
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-            "time": "2019-10-06T11:29:25+00:00"
+            "time": "2020-08-28T19:41:55+00:00"
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@@ -1118,16 +1176,16 @@
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-            "version": "2.37.0",
+            "version": "2.39.1",
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                 "url": "https://github.com/briannesbitt/Carbon.git",
-                "reference": "1f61206de973d67f36ce50f041c792ddac663c3e"
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@@ -1140,9 +1198,9 @@
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                 "kylekatarnls/multi-tester": "^2.0",
-                "phpmd/phpmd": "^2.8",
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@@ -1203,20 +1261,20 @@
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-            "time": "2020-07-28T06:04:54+00:00"
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-            "version": "3.5.5",
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-                "reference": "dec9fc5ecfca93f45cd6121f8e6f14457dff372c"
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@@ -1264,7 +1322,7 @@
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@@ -1815,35 +1873,38 @@
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+                "php": "^7.2 || ^8"
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-                "dealerdirect/phpcodesniffer-composer-installer": "^0.5.0",
+                "captainhook/captainhook": "^5.3",
+                "dealerdirect/phpcodesniffer-composer-installer": "^0.7.0",
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-                "jakub-onderka/php-parallel-lint": "^1",
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-                "phpstan/phpstan": "^0.12",
-                "phpstan/phpstan-mockery": "^0.12",
-                "phpstan/phpstan-phpunit": "^0.12",
+                "phpstan/phpstan": "^0.12.32",
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-                "slevomat/coding-standard": "^6.0",
-                "squizlabs/php_codesniffer": "^3.5"
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+                "squizlabs/php_codesniffer": "^3.5",
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@@ -1863,7 +1924,6 @@
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             "name": "phpdocumentor/reflection-common",
@@ -5508,16 +5574,16 @@
         },
         {
             "name": "phpdocumentor/reflection-docblock",
-            "version": "5.2.0",
+            "version": "5.2.1",
             "source": {
                 "type": "git",
                 "url": "https://github.com/phpDocumentor/ReflectionDocBlock.git",
-                "reference": "3170448f5769fe19f456173d833734e0ff1b84df"
+                "reference": "d870572532cd70bc3fab58f2e23ad423c8404c44"
             },
             "dist": {
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-                "url": "https://api.github.com/repos/phpDocumentor/ReflectionDocBlock/zipball/3170448f5769fe19f456173d833734e0ff1b84df",
-                "reference": "3170448f5769fe19f456173d833734e0ff1b84df",
+                "url": "https://api.github.com/repos/phpDocumentor/ReflectionDocBlock/zipball/d870572532cd70bc3fab58f2e23ad423c8404c44",
+                "reference": "d870572532cd70bc3fab58f2e23ad423c8404c44",
                 "shasum": ""
             },
             "require": {
@@ -5556,7 +5622,7 @@
                 }
             ],
             "description": "With this component, a library can provide support for annotations via DocBlocks or otherwise retrieve information that is embedded in a DocBlock.",
-            "time": "2020-07-20T20:05:34+00:00"
+            "time": "2020-08-15T11:14:08+00:00"
         },
         {
             "name": "phpdocumentor/type-resolver",
@@ -5668,32 +5734,35 @@
         },
         {
             "name": "phpunit/php-code-coverage",
-            "version": "8.0.2",
+            "version": "9.1.8",
             "source": {
                 "type": "git",
                 "url": "https://github.com/sebastianbergmann/php-code-coverage.git",
-                "reference": "ca6647ffddd2add025ab3f21644a441d7c146cdc"
+                "reference": "f98f8466126d83b55b924a94d2244c53c216b8fb"
             },
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-                "url": "https://api.github.com/repos/sebastianbergmann/php-code-coverage/zipball/ca6647ffddd2add025ab3f21644a441d7c146cdc",
-                "reference": "ca6647ffddd2add025ab3f21644a441d7c146cdc",
+                "url": "https://api.github.com/repos/sebastianbergmann/php-code-coverage/zipball/f98f8466126d83b55b924a94d2244c53c216b8fb",
+                "reference": "f98f8466126d83b55b924a94d2244c53c216b8fb",
                 "shasum": ""
             },
             "require": {
                 "ext-dom": "*",
+                "ext-libxml": "*",
                 "ext-xmlwriter": "*",
-                "php": "^7.3",
-                "phpunit/php-file-iterator": "^3.0",
-                "phpunit/php-text-template": "^2.0",
-                "phpunit/php-token-stream": "^4.0",
-                "sebastian/code-unit-reverse-lookup": "^2.0",
-                "sebastian/environment": "^5.0",
-                "sebastian/version": "^3.0",
-                "theseer/tokenizer": "^1.1.3"
+                "nikic/php-parser": "^4.8",
+                "php": "^7.3 || ^8.0",
+                "phpunit/php-file-iterator": "^3.0.3",
+                "phpunit/php-text-template": "^2.0.2",
+                "sebastian/code-unit-reverse-lookup": "^2.0.2",
+                "sebastian/complexity": "^2.0",
+                "sebastian/environment": "^5.1.2",
+                "sebastian/lines-of-code": "^1.0",
+                "sebastian/version": "^3.0.1",
+                "theseer/tokenizer": "^1.2.0"
             },
             "require-dev": {
-                "phpunit/phpunit": "^9.0"
+                "phpunit/phpunit": "^9.3"
             },
             "suggest": {
                 "ext-pcov": "*",
@@ -5702,7 +5771,7 @@
             "type": "library",
             "extra": {
                 "branch-alias": {
-                    "dev-master": "8.0-dev"
+                    "dev-master": "9.1-dev"
                 }
             },
             "autoload": {
@@ -5734,7 +5803,7 @@
                     "type": "github"
                 }
             ],
-            "time": "2020-05-23T08:02:54+00:00"
+            "time": "2020-09-07T08:07:10+00:00"
         },
         {
             "name": "phpunit/php-file-iterator",
@@ -5794,16 +5863,16 @@
         },
         {
             "name": "phpunit/php-invoker",
-            "version": "3.0.2",
+            "version": "3.1.0",
             "source": {
                 "type": "git",
                 "url": "https://github.com/sebastianbergmann/php-invoker.git",
-                "reference": "f6eedfed1085dd1f4c599629459a0277d25f9a66"
+                "reference": "7a85b66acc48cacffdf87dadd3694e7123674298"
             },
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-                "reference": "f6eedfed1085dd1f4c599629459a0277d25f9a66",
+                "url": "https://api.github.com/repos/sebastianbergmann/php-invoker/zipball/7a85b66acc48cacffdf87dadd3694e7123674298",
+                "reference": "7a85b66acc48cacffdf87dadd3694e7123674298",
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             },
             "require": {
@@ -5819,7 +5888,7 @@
             "type": "library",
             "extra": {
                 "branch-alias": {
-                    "dev-master": "3.0-dev"
+                    "dev-master": "3.1-dev"
                 }
             },
             "autoload": {
@@ -5849,7 +5918,7 @@
                     "type": "github"
                 }
             ],
-            "time": "2020-06-26T11:53:53+00:00"
+            "time": "2020-08-06T07:04:15+00:00"
         },
         {
             "name": "phpunit/php-text-template",
@@ -5961,73 +6030,18 @@
             ],
             "time": "2020-06-26T11:58:13+00:00"
         },
-        {
-            "name": "phpunit/php-token-stream",
-            "version": "4.0.3",
-            "source": {
-                "type": "git",
-                "url": "https://github.com/sebastianbergmann/php-token-stream.git",
-                "reference": "5672711b6b07b14d5ab694e700c62eeb82fcf374"
-            },
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-                "reference": "5672711b6b07b14d5ab694e700c62eeb82fcf374",
-                "shasum": ""
-            },
-            "require": {
-                "ext-tokenizer": "*",
-                "php": "^7.3 || ^8.0"
-            },
-            "require-dev": {
-                "phpunit/phpunit": "^9.0"
-            },
-            "type": "library",
-            "extra": {
-                "branch-alias": {
-                    "dev-master": "4.0-dev"
-                }
-            },
-            "autoload": {
-                "classmap": [
-                    "src/"
-                ]
-            },
-            "notification-url": "https://packagist.org/downloads/",
-            "license": [
-                "BSD-3-Clause"
-            ],
-            "authors": [
-                {
-                    "name": "Sebastian Bergmann",
-                    "email": "sebastian@phpunit.de"
-                }
-            ],
-            "description": "Wrapper around PHP's tokenizer extension.",
-            "homepage": "https://github.com/sebastianbergmann/php-token-stream/",
-            "keywords": [
-                "tokenizer"
-            ],
-            "funding": [
-                {
-                    "url": "https://github.com/sebastianbergmann",
-                    "type": "github"
-                }
-            ],
-            "time": "2020-06-27T06:36:25+00:00"
-        },
         {
             "name": "phpunit/phpunit",
-            "version": "9.2.6",
+            "version": "9.3.8",
             "source": {
                 "type": "git",
                 "url": "https://github.com/sebastianbergmann/phpunit.git",
-                "reference": "1c6a9e4312e209e659f1fce3ce88dd197c2448f6"
+                "reference": "93d78d8e2a06393a0d0c1ead6fe9984f1af1f88c"
             },
             "dist": {
                 "type": "zip",
-                "url": "https://api.github.com/repos/sebastianbergmann/phpunit/zipball/1c6a9e4312e209e659f1fce3ce88dd197c2448f6",
-                "reference": "1c6a9e4312e209e659f1fce3ce88dd197c2448f6",
+                "url": "https://api.github.com/repos/sebastianbergmann/phpunit/zipball/93d78d8e2a06393a0d0c1ead6fe9984f1af1f88c",
+                "reference": "93d78d8e2a06393a0d0c1ead6fe9984f1af1f88c",
                 "shasum": ""
             },
             "require": {
@@ -6038,30 +6052,31 @@
                 "ext-mbstring": "*",
                 "ext-xml": "*",
                 "ext-xmlwriter": "*",
-                "myclabs/deep-copy": "^1.9.5",
-                "phar-io/manifest": "^1.0.3",
-                "phar-io/version": "^2.0.1",
-                "php": "^7.3",
-                "phpspec/prophecy": "^1.10.3",
-                "phpunit/php-code-coverage": "^8.0.2",
-                "phpunit/php-file-iterator": "^3.0.3",
-                "phpunit/php-invoker": "^3.0.2",
+                "myclabs/deep-copy": "^1.10.1",
+                "phar-io/manifest": "^2.0.1",
+                "phar-io/version": "^3.0.2",
+                "php": "^7.3 || ^8.0",
+                "phpspec/prophecy": "^1.11.1",
+                "phpunit/php-code-coverage": "^9.1.5",
+                "phpunit/php-file-iterator": "^3.0.4",
+                "phpunit/php-invoker": "^3.1",
                 "phpunit/php-text-template": "^2.0.2",
                 "phpunit/php-timer": "^5.0.1",
+                "sebastian/cli-parser": "^1.0",
                 "sebastian/code-unit": "^1.0.5",
                 "sebastian/comparator": "^4.0.3",
-                "sebastian/diff": "^4.0.1",
+                "sebastian/diff": "^4.0.2",
                 "sebastian/environment": "^5.1.2",
                 "sebastian/exporter": "^4.0.2",
-                "sebastian/global-state": "^4.0",
+                "sebastian/global-state": "^5.0",
                 "sebastian/object-enumerator": "^4.0.2",
                 "sebastian/resource-operations": "^3.0.2",
-                "sebastian/type": "^2.1.1",
+                "sebastian/type": "^2.2.1",
                 "sebastian/version": "^3.0.1"
             },
             "require-dev": {
                 "ext-pdo": "*",
-                "phpspec/prophecy-phpunit": "^2.0"
+                "phpspec/prophecy-phpunit": "^2.0.1"
             },
             "suggest": {
                 "ext-soap": "*",
@@ -6073,7 +6088,7 @@
             "type": "library",
             "extra": {
                 "branch-alias": {
-                    "dev-master": "9.2-dev"
+                    "dev-master": "9.3-dev"
                 }
             },
             "autoload": {
@@ -6112,7 +6127,7 @@
                     "type": "github"
                 }
             ],
-            "time": "2020-07-13T17:55:55+00:00"
+            "time": "2020-08-27T06:30:58+00:00"
         },
         {
             "name": "psy/psysh",
@@ -6226,6 +6241,58 @@
             "description": "A polyfill for getallheaders.",
             "time": "2019-03-08T08:55:37+00:00"
         },
+        {
+            "name": "sebastian/cli-parser",
+            "version": "1.0.0",
+            "source": {
+                "type": "git",
+                "url": "https://github.com/sebastianbergmann/cli-parser.git",
+                "reference": "2a4a38c56e62f7295bedb8b1b7439ad523d4ea82"
+            },
+            "dist": {
+                "type": "zip",
+                "url": "https://api.github.com/repos/sebastianbergmann/cli-parser/zipball/2a4a38c56e62f7295bedb8b1b7439ad523d4ea82",
+                "reference": "2a4a38c56e62f7295bedb8b1b7439ad523d4ea82",
+                "shasum": ""
+            },
+            "require": {
+                "php": "^7.3 || ^8.0"
+            },
+            "require-dev": {
+                "phpunit/phpunit": "^9.3"
+            },
+            "type": "library",
+            "extra": {
+                "branch-alias": {
+                    "dev-master": "1.0-dev"
+                }
+            },
+            "autoload": {
+                "classmap": [
+                    "src/"
+                ]
+            },
+            "notification-url": "https://packagist.org/downloads/",
+            "license": [
+                "BSD-3-Clause"
+            ],
+            "authors": [
+                {
+                    "name": "Sebastian Bergmann",
+                    "email": "sebastian@phpunit.de",
+                    "role": "lead"
+                }
+            ],
+            "description": "Library for parsing CLI options",
+            "homepage": "https://github.com/sebastianbergmann/cli-parser",
+            "funding": [
+                {
+                    "url": "https://github.com/sebastianbergmann",
+                    "type": "github"
+                }
+            ],
+            "time": "2020-08-12T10:49:21+00:00"
+        },
         {
             "name": "sebastian/code-unit",
             "version": "1.0.5",
@@ -6399,6 +6466,59 @@
             ],
             "time": "2020-06-26T12:05:46+00:00"
         },
+        {
+            "name": "sebastian/complexity",
+            "version": "2.0.0",
+            "source": {
+                "type": "git",
+                "url": "https://github.com/sebastianbergmann/complexity.git",
+                "reference": "33fcd6a26656c6546f70871244ecba4b4dced097"
+            },
+            "dist": {
+                "type": "zip",
+                "url": "https://api.github.com/repos/sebastianbergmann/complexity/zipball/33fcd6a26656c6546f70871244ecba4b4dced097",
+                "reference": "33fcd6a26656c6546f70871244ecba4b4dced097",
+                "shasum": ""
+            },
+            "require": {
+                "nikic/php-parser": "^4.7",
+                "php": "^7.3 || ^8.0"
+            },
+            "require-dev": {
+                "phpunit/phpunit": "^9.2"
+            },
+            "type": "library",
+            "extra": {
+                "branch-alias": {
+                    "dev-master": "2.0-dev"
+                }
+            },
+            "autoload": {
+                "classmap": [
+                    "src/"
+                ]
+            },
+            "notification-url": "https://packagist.org/downloads/",
+            "license": [
+                "BSD-3-Clause"
+            ],
+            "authors": [
+                {
+                    "name": "Sebastian Bergmann",
+                    "email": "sebastian@phpunit.de",
+                    "role": "lead"
+                }
+            ],
+            "description": "Library for calculating the complexity of PHP code units",
+            "homepage": "https://github.com/sebastianbergmann/complexity",
+            "funding": [
+                {
+                    "url": "https://github.com/sebastianbergmann",
+                    "type": "github"
+                }
+            ],
+            "time": "2020-07-25T14:01:34+00:00"
+        },
         {
             "name": "sebastian/diff",
             "version": "4.0.2",
@@ -6595,26 +6715,26 @@
         },
         {
             "name": "sebastian/global-state",
-            "version": "4.0.0",
+            "version": "5.0.0",
             "source": {
                 "type": "git",
                 "url": "https://github.com/sebastianbergmann/global-state.git",
-                "reference": "bdb1e7c79e592b8c82cb1699be3c8743119b8a72"
+                "reference": "22ae663c951bdc39da96603edc3239ed3a299097"
             },
             "dist": {
                 "type": "zip",
-                "url": "https://api.github.com/repos/sebastianbergmann/global-state/zipball/bdb1e7c79e592b8c82cb1699be3c8743119b8a72",
-                "reference": "bdb1e7c79e592b8c82cb1699be3c8743119b8a72",
+                "url": "https://api.github.com/repos/sebastianbergmann/global-state/zipball/22ae663c951bdc39da96603edc3239ed3a299097",
+                "reference": "22ae663c951bdc39da96603edc3239ed3a299097",
                 "shasum": ""
             },
             "require": {
-                "php": "^7.3",
+                "php": "^7.3 || ^8.0",
                 "sebastian/object-reflector": "^2.0",
                 "sebastian/recursion-context": "^4.0"
             },
             "require-dev": {
                 "ext-dom": "*",
-                "phpunit/phpunit": "^9.0"
+                "phpunit/phpunit": "^9.3"
             },
             "suggest": {
                 "ext-uopz": "*"
@@ -6622,7 +6742,7 @@
             "type": "library",
             "extra": {
                 "branch-alias": {
-                    "dev-master": "4.0-dev"
+                    "dev-master": "5.0-dev"
                 }
             },
             "autoload": {
@@ -6645,7 +6765,66 @@
             "keywords": [
                 "global state"
             ],
-            "time": "2020-02-07T06:11:37+00:00"
+            "funding": [
+                {
+                    "url": "https://github.com/sebastianbergmann",
+                    "type": "github"
+                }
+            ],
+            "time": "2020-08-07T04:09:03+00:00"
+        },
+        {
+            "name": "sebastian/lines-of-code",
+            "version": "1.0.0",
+            "source": {
+                "type": "git",
+                "url": "https://github.com/sebastianbergmann/lines-of-code.git",
+                "reference": "e02bf626f404b5daec382a7b8a6a4456e49017e5"
+            },
+            "dist": {
+                "type": "zip",
+                "url": "https://api.github.com/repos/sebastianbergmann/lines-of-code/zipball/e02bf626f404b5daec382a7b8a6a4456e49017e5",
+                "reference": "e02bf626f404b5daec382a7b8a6a4456e49017e5",
+                "shasum": ""
+            },
+            "require": {
+                "nikic/php-parser": "^4.6",
+                "php": "^7.3 || ^8.0"
+            },
+            "require-dev": {
+                "phpunit/phpunit": "^9.2"
+            },
+            "type": "library",
+            "extra": {
+                "branch-alias": {
+                    "dev-master": "1.0-dev"
+                }
+            },
+            "autoload": {
+                "classmap": [
+                    "src/"
+                ]
+            },
+            "notification-url": "https://packagist.org/downloads/",
+            "license": [
+                "BSD-3-Clause"
+            ],
+            "authors": [
+                {
+                    "name": "Sebastian Bergmann",
+                    "email": "sebastian@phpunit.de",
+                    "role": "lead"
+                }
+            ],
+            "description": "Library for counting the lines of code in PHP source code",
+            "homepage": "https://github.com/sebastianbergmann/lines-of-code",
+            "funding": [
+                {
+                    "url": "https://github.com/sebastianbergmann",
+                    "type": "github"
+                }
+            ],
+            "time": "2020-07-22T18:33:42+00:00"
         },
         {
             "name": "sebastian/object-enumerator",
diff --git a/phpunit.xml b/phpunit.xml
index 8692a0f..f5ae2bc 100644
--- a/phpunit.xml
+++ b/phpunit.xml
@@ -1,22 +1,13 @@
 <?xml version="1.0" encoding="UTF-8"?>
-<phpunit bootstrap="vendor/autoload.php"
-         backupGlobals="false"
-         backupStaticAttributes="false"
-         colors="true"
-         verbose="true"
-         convertErrorsToExceptions="true"
-         convertNoticesToExceptions="true"
-         convertWarningsToExceptions="true"
-         processIsolation="false"
-         stopOnFailure="false">
-    <testsuites>
-        <testsuite name="laravel-astronomy-library test suite">
-            <directory suffix=".php">tests</directory>
-        </testsuite>
-    </testsuites>
-    <filter>
-        <whitelist>
-            <directory>src/</directory>
-        </whitelist>
-    </filter>
+<phpunit xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" bootstrap="vendor/autoload.php" backupGlobals="false" backupStaticAttributes="false" colors="true" verbose="true" convertErrorsToExceptions="true" convertNoticesToExceptions="true" convertWarningsToExceptions="true" processIsolation="false" stopOnFailure="false" xsi:noNamespaceSchemaLocation="https://schema.phpunit.de/9.3/phpunit.xsd">
+  <coverage>
+    <include>
+      <directory>src/</directory>
+    </include>
+  </coverage>
+  <testsuites>
+    <testsuite name="laravel-astronomy-library test suite">
+      <directory suffix=".php">tests</directory>
+    </testsuite>
+  </testsuites>
 </phpunit>
diff --git a/readme.md b/readme.md
index 1ae57f4..6715a44 100644
--- a/readme.md
+++ b/readme.md
@@ -232,6 +232,16 @@ $coords1 = new EquatorialCoordinates(12.6857305, -5.631722);
 $coords2 = new EquatorialCoordinates(12.8681138, -4.373944);
 $coords3 = new EquatorialCoordinates(12.6578083, -1.834361);
 $coords1->smallestCircle($coords2, $coords3);
+
+// Calculate the precession (with low precision)
+$coords = new EquatorialCoordinates(10.13952778, 11.967222, 2000.0, -0.0169, 0.006);
+$date = Carbon::createMidnightDate(1978, 1, 1);
+$precessed_coords = $coords->precession($date);
+
+// Calculate the precession (with high precision)
+$coords = new EquatorialCoordinates(10.13952778, 11.967222, 2000.0, -0.0169, 0.006);
+$date = Carbon::createMidnightDate(1978, 1, 1);
+$precessed_coords = $coords->precessionHighAccuracy($date);
 ```
 
 ### Coordinate methods on ecliptical coordinates
@@ -247,6 +257,11 @@ print ($coords->printLatitude());
 $equatorial = $coords->convertToEquatorial($nutObliquity);
 $equatorial = $coords->convertToEquatorialJ2000();
 $equatorial = $coords->convertToEquatorialB1950();
+
+// Calculate the precession (with high precision)
+$coords = new EclipticalCoordinates(149.48194, 1.76549, 2000.0);
+$date = Carbon::create(-214, 6, 30, 0, 0, 0, 'UTC');
+$precessed_coords = $coords->precessionHighAccuracy($date);
 ```
 
 ### Coordinate methods on horizontal coordinates
diff --git a/src/deepskylog/AstronomyLibrary/Coordinates/EclipticalCoordinates.php b/src/deepskylog/AstronomyLibrary/Coordinates/EclipticalCoordinates.php
index b15a189..d521f39 100644
--- a/src/deepskylog/AstronomyLibrary/Coordinates/EclipticalCoordinates.php
+++ b/src/deepskylog/AstronomyLibrary/Coordinates/EclipticalCoordinates.php
@@ -13,6 +13,9 @@
 
 namespace deepskylog\AstronomyLibrary\Coordinates;
 
+use deepskylog\AstronomyLibrary\Time;
+use Illuminate\Support\Carbon;
+
 /**
  * EclipticalCoordinates class.
  *
@@ -27,17 +30,23 @@ class EclipticalCoordinates
 {
     private Coordinate $_longitude;
     private Coordinate $_latitude;
+    private float $_epoch = 2000.0;
 
     /**
      * The constructor.
      *
      * @param float $longitude The ecliptical longitude (0, 360)
      * @param float $latitude  The ecliptical latitude (-90, 90)
+     * @param float $epoch     The epoch of the target (2000.0 is standard)
      */
-    public function __construct(float $longitude, float $latitude)
-    {
-        $this->_longitude = new Coordinate($longitude);
-        $this->_latitude = new Coordinate($latitude, -90.0, 90.0);
+    public function __construct(
+        float $longitude,
+        float $latitude,
+        float $epoch = 2000.0
+    ) {
+        $this->setLongitude($longitude);
+        $this->setLatitude($latitude);
+        $this->setEpoch($epoch);
     }
 
     /**
@@ -49,7 +58,7 @@ public function __construct(float $longitude, float $latitude)
      */
     public function setLongitude(float $longitude): void
     {
-        $this->_longitude->setCoordinate($longitude);
+        $this->_longitude = new Coordinate($longitude);
     }
 
     /**
@@ -61,7 +70,19 @@ public function setLongitude(float $longitude): void
      */
     public function setLatitude(float $latitude): void
     {
-        $this->_latitude->setCoordinate($latitude);
+        $this->_latitude = new Coordinate($latitude, -90.0, 90.0);
+    }
+
+    /**
+     * Sets the epoch.
+     *
+     * @param float $epoch The epoch
+     *
+     * @return None
+     */
+    public function setEpoch(float $epoch): void
+    {
+        $this->_epoch = $epoch;
     }
 
     /**
@@ -84,6 +105,16 @@ public function getLongitude(): Coordinate
         return $this->_longitude;
     }
 
+    /**
+     * Gets the epoch.
+     *
+     * @return float The epoch
+     */
+    public function getEpoch(): float
+    {
+        return $this->_epoch;
+    }
+
     /**
      * Returns a readable string of the ecliptical longitude.
      *
@@ -162,4 +193,82 @@ public function convertToEquatorialB1950(): EquatorialCoordinates
     {
         return $this->convertToEquatorial(23.4457889);
     }
+
+    /**
+     * Returns the precession: the coordinates for another epoch and equinox.
+     * Chapter 21 of Astronomical Algorithms.
+     *
+     * @param Carbon $date The date for the new equinox
+     *
+     * @return EclipticalCoordinates the precessed coordinates
+     */
+    public function precessionHighAccuracy(Carbon $date): EclipticalCoordinates
+    {
+        $precessed_coordinates = clone $this;
+
+        $epoch_in_JD = Time::getJd(
+            Carbon::create($this->getEpoch(), 1, 1, 12, 0, 0, 'UTC')
+        );
+
+        $time_interval_J2000_starting = ($epoch_in_JD - 2451545.0) / 36525.0;
+
+        $jd = Time::getJd($date);
+
+        $time_interval_starting_final = ($jd - $epoch_in_JD) / 36525.0;
+
+        $eta = (
+            (
+                47.0029
+                - 0.06603 * $time_interval_J2000_starting
+                + 0.000598 * $time_interval_J2000_starting ** 2
+            ) * $time_interval_starting_final
+            + (-0.03302 + 0.000598 * $time_interval_J2000_starting)
+                * $time_interval_starting_final ** 2
+            + 0.000060 * $time_interval_starting_final ** 3
+        ) / 3600.0;
+
+        $pi = (
+            (
+                174.876384 * 3600.0
+                + 3289.4789 * $time_interval_J2000_starting
+                + 0.60622 * $time_interval_J2000_starting ** 2
+            )
+            - (869.8089 + 0.50491 * $time_interval_J2000_starting)
+                * $time_interval_starting_final
+            + 0.03536 * $time_interval_starting_final ** 2
+        ) / 3600.0;
+
+        $rho = (
+            (
+                5029.0966
+                + 2.22226 * $time_interval_J2000_starting
+                - 0.000042 * $time_interval_J2000_starting ** 2
+            ) * $time_interval_starting_final
+            + (1.11113 - 0.000042 * $time_interval_J2000_starting)
+                 * $time_interval_starting_final ** 2
+            - 0.000006 * $time_interval_starting_final ** 3
+        ) / 3600.0;
+
+        $A_accent = cos(deg2rad($eta))
+            * cos(deg2rad($this->getLatitude()->getCoordinate()))
+            * sin(deg2rad($pi - $this->getLongitude()->getCoordinate()))
+            - sin(deg2rad($eta))
+            * sin(deg2rad($this->getLatitude()->getCoordinate()));
+
+        $B_accent = cos(deg2rad($this->getLatitude()->getCoordinate()))
+            * cos(deg2rad($pi - $this->getLongitude()->getCoordinate()));
+
+        $C_accent = cos(deg2rad($eta))
+            * sin(deg2rad($this->getLatitude()->getCoordinate()))
+            + sin(deg2rad($eta))
+            * cos(deg2rad($this->getLatitude()->getCoordinate()))
+            * sin(deg2rad($pi - $this->getLongitude()->getCoordinate()));
+
+        $precessed_coordinates->setLongitude(
+            $rho + $pi - rad2deg(atan2($A_accent, $B_accent))
+        );
+        $precessed_coordinates->setLatitude(rad2deg(asin($C_accent)));
+
+        return $precessed_coordinates;
+    }
 }
diff --git a/src/deepskylog/AstronomyLibrary/Coordinates/EquatorialCoordinates.php b/src/deepskylog/AstronomyLibrary/Coordinates/EquatorialCoordinates.php
index 1d61ea7..5241a27 100644
--- a/src/deepskylog/AstronomyLibrary/Coordinates/EquatorialCoordinates.php
+++ b/src/deepskylog/AstronomyLibrary/Coordinates/EquatorialCoordinates.php
@@ -14,6 +14,7 @@
 namespace deepskylog\AstronomyLibrary\Coordinates;
 
 use Carbon\Carbon;
+use deepskylog\AstronomyLibrary\Time;
 
 /**
  * EquatorialCoordinates class.
@@ -29,17 +30,31 @@ class EquatorialCoordinates
 {
     private Coordinate $_ra;
     private Coordinate $_decl;
+    private float $_epoch = 2000.0;
+    private float $_deltaRA = 0.0;
+    private float $_deltaDec = 0.0;
 
     /**
      * The constructor.
      *
      * @param float $ra          The right ascension (0, 24)
      * @param float $declination The declination (-90, 90)
+     * @param float $epoch       The epoch of the target (2000.0 is standard)
+     * @param float $deltaRA     The proper motion in Right Ascension in seconds/year
+     * @param float $deltaDec    The proper motion in declination in ''/year
      */
-    public function __construct(float $ra, float $declination)
-    {
+    public function __construct(
+        float $ra,
+        float $declination,
+        float $epoch = 2000.0,
+        float $deltaRA = 0.0,
+        float $deltaDec = 0.0
+    ) {
         $this->setRA($ra);
         $this->setDeclination($declination);
+        $this->setEpoch($epoch);
+        $this->setDeltaRA($deltaRA);
+        $this->setDeltaDec($deltaDec);
     }
 
     /**
@@ -66,6 +81,42 @@ public function setDeclination(float $declination): void
         $this->_decl = new Coordinate($declination, -90.0, 90.0);
     }
 
+    /**
+     * Sets the epoch.
+     *
+     * @param float $epoch The epoch
+     *
+     * @return None
+     */
+    public function setEpoch(float $epoch): void
+    {
+        $this->_epoch = $epoch;
+    }
+
+    /**
+     * Sets the proper motion in RA.
+     *
+     * @param float $deltaRA the proper motion in RA is seconds/year
+     *
+     * @return None
+     */
+    public function setDeltaRA(float $deltaRA): void
+    {
+        $this->_deltaRA = $deltaRA;
+    }
+
+    /**
+     * Sets the proper motion in declination.
+     *
+     * @param float $deltaDec the proper motion in declination in ''/year
+     *
+     * @return None
+     */
+    public function setDeltaDec(float $deltaDec): void
+    {
+        $this->_deltaDec = $deltaDec;
+    }
+
     /**
      * Gets the Right Ascension.
      *
@@ -86,6 +137,36 @@ public function getDeclination(): Coordinate
         return $this->_decl;
     }
 
+    /**
+     * Gets the epoch.
+     *
+     * @return float The epoch
+     */
+    public function getEpoch(): float
+    {
+        return $this->_epoch;
+    }
+
+    /**
+     * Gets the the proper motion in RA.
+     *
+     * @return float The proper motion in RA in seconds/year
+     */
+    public function getDeltaRA(): float
+    {
+        return $this->_deltaRA;
+    }
+
+    /**
+     * Gets the the proper motion in declination.
+     *
+     * @return float The proper motion in declination in ''/year
+     */
+    public function getDeltaDec(): float
+    {
+        return $this->_deltaDec;
+    }
+
     /**
      * Returns a readable string of the declination.
      *
@@ -259,8 +340,10 @@ public function getParallacticAngle(
         $q = rad2deg(
             atan2(
                 sin(deg2rad($H)),
-                tan(deg2rad($phi)) * cos(deg2rad($this->getDeclination()->getCoordinate()))
-                - sin(deg2rad($this->getDeclination()->getCoordinate())) * cos(deg2rad($H))
+                tan(deg2rad($phi))
+                * cos(deg2rad($this->getDeclination()->getCoordinate()))
+                - sin(deg2rad($this->getDeclination()->getCoordinate()))
+                * cos(deg2rad($H))
             )
         );
 
@@ -457,4 +540,127 @@ public function smallestCircle(
             );
         }
     }
+
+    /**
+     * Returns the precession: the coordinates for another epoch and equinox.
+     * Chapter 21 of Astronomical Algorithms.
+     *
+     * @param Carbon $date The date for the new equinox
+     *
+     * @return EquatorialCoordinates the precessed coordinates
+     */
+    public function precession(Carbon $date): EquatorialCoordinates
+    {
+        $precessed_coordinates = clone $this;
+
+        if ($date->isLeapYear()) {
+            $year = $date->year + ($date->dayOfYear - 1.0) / 366;
+        } else {
+            $year = $date->year + ($date->dayOfYear - 1.0) / 365;
+        }
+
+        $T = ($this->getEpoch() - $year) / 100.0;
+        $m = 3.07496 + 0.00186 * $T;
+        $n = 20.0431 - 0.0085 * $T;
+
+        $deltaRA = (
+            $this->getDeltaRA() + (
+                $m
+                + $n * sin(deg2rad($this->getRA()->getCoordinate() * 15.0))
+                * tan(deg2rad($this->getDeclination()->getCoordinate())) / 15.0
+            )
+        ) * ($year - $this->getEpoch());
+        $deltaDecl = (
+            $this->getDeltaDec() + $n
+            * cos(deg2rad($this->getRA()->getCoordinate() * 15.0))
+        ) * ($year - $this->getEpoch());
+
+        $precessed_coordinates->setRA(
+            $this->getRA()->getCoordinate() + $deltaRA / 3600.0
+        );
+        $precessed_coordinates->setDeclination(
+            $this->getDeclination()->getCoordinate() + $deltaDecl / 3600.0
+        );
+
+        return $precessed_coordinates;
+    }
+
+    /**
+     * Returns the precession: the coordinates for another epoch and equinox.
+     * Chapter 21 of Astronomical Algorithms.
+     *
+     * @param Carbon $date The date for the new equinox
+     *
+     * @return EquatorialCoordinates the precessed coordinates
+     */
+    public function precessionHighAccuracy(Carbon $date): EquatorialCoordinates
+    {
+        $precessed_coordinates = clone $this;
+
+        $epoch_in_JD = Time::getJd(
+            Carbon::create($this->getEpoch(), 1, 1, 12, 0, 0, 'UTC')
+        );
+
+        $time_interval_J2000_starting = ($epoch_in_JD - 2451545.0) / 36525.0;
+
+        $jd = Time::getJd($date);
+
+        $time_interval_starting_final = ($jd - $epoch_in_JD) / 36525.0;
+
+        $ra_with_proper_motion = (
+            $this->getRA()->getCoordinate()
+            + $this->getDeltaRA() * $time_interval_starting_final * 100.0 / 3600.0
+        ) * 15.0;
+        $dec_with_proper_motion = $this->getDeclination()->getCoordinate()
+            + $this->getDeltaDec() * $time_interval_starting_final * 100.0 / 3600.0;
+
+        $ksi = (
+            (2306.2181
+                + 1.39656 * $time_interval_J2000_starting
+                - 0.000139 * $time_interval_J2000_starting ** 2)
+                * $time_interval_starting_final
+            + (0.30188 - 0.000344 * $time_interval_J2000_starting)
+                * $time_interval_starting_final ** 2
+            + 0.017998
+                * $time_interval_starting_final ** 3
+        ) / 3600.0;
+
+        $zeta = (
+            (2306.2181
+                + 1.39656 * $time_interval_J2000_starting
+                - 0.000139 * $time_interval_J2000_starting ** 2)
+                * $time_interval_starting_final
+            + (1.09468 + 0.000066 * $time_interval_J2000_starting)
+                * $time_interval_starting_final ** 2
+            + 0.018203
+                * $time_interval_starting_final ** 3
+        ) / 3600.0;
+
+        $theta = (
+            (2004.3109
+                - 0.85330 * $time_interval_J2000_starting
+                - 0.000217 * $time_interval_J2000_starting ** 2)
+                * $time_interval_starting_final
+            - (0.42665 + 0.000217 * $time_interval_J2000_starting)
+                * $time_interval_starting_final ** 2
+            - 0.041833
+                * $time_interval_starting_final ** 3
+        ) / 3600.0;
+
+        $A = cos(deg2rad($dec_with_proper_motion))
+            * sin(deg2rad($ra_with_proper_motion + $ksi));
+        $B = cos(deg2rad($theta)) * cos(deg2rad($dec_with_proper_motion))
+            * cos(deg2rad($ra_with_proper_motion + $ksi))
+            - sin(deg2rad($theta)) * sin(deg2rad($dec_with_proper_motion));
+        $C = sin(deg2rad($theta)) * cos(deg2rad($dec_with_proper_motion))
+            * cos(deg2rad($ra_with_proper_motion + $ksi))
+            + cos(deg2rad($theta)) * sin(deg2rad($dec_with_proper_motion));
+
+        $precessed_coordinates->setRA(
+            (rad2deg(atan2($A, $B)) + $zeta) / 15.0
+        );
+        $precessed_coordinates->setDeclination(rad2deg(asin($C)));
+
+        return $precessed_coordinates;
+    }
 }
diff --git a/tests/Unit/EclipticalCoordinatesTest.php b/tests/Unit/EclipticalCoordinatesTest.php
index 2c36789..1640674 100644
--- a/tests/Unit/EclipticalCoordinatesTest.php
+++ b/tests/Unit/EclipticalCoordinatesTest.php
@@ -14,6 +14,7 @@
 
 use deepskylog\AstronomyLibrary\Coordinates\EclipticalCoordinates;
 use deepskylog\AstronomyLibrary\Testing\BaseTestCase;
+use Illuminate\Support\Carbon;
 
 /**
  * Tests for the EclipticalCoordinates class.
@@ -106,4 +107,33 @@ public function testConversionToEquatorial()
             0.00001
         );
     }
+
+    /**
+     * Test precession.
+     *
+     * @return None
+     */
+    public function testPrecessionHigh()
+    {
+        // Test for Venus
+        $coords = new EclipticalCoordinates(
+            149.48194,
+            1.76549,
+            2000.0
+        );
+
+        $date = Carbon::create(-214, 6, 30, 0, 0, 0, 'UTC');
+
+        $precessed_coords = $coords->precessionHighAccuracy($date);
+        $this->assertEqualsWithDelta(
+            118.704,
+            $precessed_coords->getLongitude()->getCoordinate(),
+            0.001
+        );
+        $this->assertEqualsWithDelta(
+            1.615,
+            $precessed_coords->getLatitude()->getCoordinate(),
+            0.001
+        );
+    }
 }
diff --git a/tests/Unit/EquatorialCoordinatesTest.php b/tests/Unit/EquatorialCoordinatesTest.php
index 8303ba3..38afae8 100644
--- a/tests/Unit/EquatorialCoordinatesTest.php
+++ b/tests/Unit/EquatorialCoordinatesTest.php
@@ -298,4 +298,111 @@ public function testSmallestCircle()
             0.0001
         );
     }
+
+    /**
+     * Test precession.
+     *
+     * @return None
+     */
+    public function testPrecessionLow()
+    {
+        $coords = new EquatorialCoordinates(
+            10.13952778,
+            11.967222,
+            2000.0,
+            -0.0169,
+            0.006
+        );
+        $date = Carbon::createMidnightDate(1978, 1, 1);
+
+        $precessed_coords = $coords->precession($date);
+        $this->assertEqualsWithDelta(
+            10.12002778,
+            $precessed_coords->getRA()->getCoordinate(),
+            0.00001
+        );
+        $this->assertEqualsWithDelta(
+            12.075416,
+            $precessed_coords->getDeclination()->getCoordinate(),
+            0.00001
+        );
+    }
+
+    /**
+     * Test precession.
+     *
+     * @return None
+     */
+    public function testPrecessionHigh()
+    {
+        // Test for theta Persei
+        $coords = new EquatorialCoordinates(
+            2.736662778,
+            49.22846667,
+            2000.0,
+            0.03425,
+            -0.0895
+        );
+
+        $date = Carbon::create(2028, 11, 13, 4, 33, 36, 'UTC');
+
+        $precessed_coords = $coords->precessionHighAccuracy($date);
+        $this->assertEqualsWithDelta(
+            2.7698141667,
+            $precessed_coords->getRA()->getCoordinate(),
+            0.00001
+        );
+        $this->assertEqualsWithDelta(
+            49.34848333,
+            $precessed_coords->getDeclination()->getCoordinate(),
+            0.00001
+        );
+
+        // Test for polaris
+        $coords = new EquatorialCoordinates(
+            2.530195556,
+            89.26408889,
+            2000.0,
+            0.19877,
+            -0.0152
+        );
+        $date = Carbon::create(1900, 1, 1, 0, 0, 0, 'UTC');
+        $precessed_coords = $coords->precessionHighAccuracy($date);
+        $this->assertEqualsWithDelta(
+            1.376083333,
+            $precessed_coords->getRA()->getCoordinate(),
+            0.00001
+        );
+        $this->assertEqualsWithDelta(
+            88.77393889,
+            $precessed_coords->getDeclination()->getCoordinate(),
+            0.00001
+        );
+
+        $date = Carbon::create(2050, 1, 1, 12, 0, 0, 'UTC');
+        $precessed_coords = $coords->precessionHighAccuracy($date);
+        $this->assertEqualsWithDelta(
+            3.8046089,
+            $precessed_coords->getRA()->getCoordinate(),
+            0.00001
+        );
+        $this->assertEqualsWithDelta(
+            89.45427222,
+            $precessed_coords->getDeclination()->getCoordinate(),
+            0.00001
+        );
+
+        $date = Carbon::create(2100, 1, 1, 12, 0, 0, 'UTC');
+        $precessed_coords = $coords->precessionHighAccuracy($date);
+        $this->assertEqualsWithDelta(
+            5.891436111,
+            $precessed_coords->getRA()->getCoordinate(),
+            0.00001
+        );
+        $this->assertEqualsWithDelta(
+            89.539494444,
+            $precessed_coords->getDeclination()->getCoordinate(),
+            0.00001
+        );
+    }
 }