{"id":"vidhyamitra:day:2456-12-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2456-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2456-12-21","date_display":"December 21, 2456 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2456,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2618450.770833,"kali_year":5558,"ahargana":2029985.2708,"sun":{"sidereal_longitude":238.1042,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":157.4324,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.3283,"elapsed_within_tithi_degrees":3.3283},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.4324,"elapsed_within_degrees":10.7658},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.5366},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2456,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2618450.770833,"ahargana":2029985.2708,"kali_year":5558,"ayanamsa_lahiri":30.2365,"grahas":{"sun":{"sidereal_longitude":239.58148299999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":155.79248299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-4.3626},"mars":{"sidereal_longitude":278.85238300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":252.63438300000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":196.192183,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":192.374283,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":210.66348300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":261.6114,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":81.6114,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2456,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2618450.770833,"kali_year":5558,"ahargana":2029985.2708,"sun":{"sidereal_longitude":238.1042,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":157.4324,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.3283,"elapsed_within_tithi_degrees":3.3283},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.4324,"elapsed_within_degrees":10.7658},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.5366},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.363,"elongation":80.672},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.363,"opposition_distance":99.328}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-1.014,"elongation":2.917}]},"calendars":{"vikram_samvat":2513,"vikram_samvatsara":"Śukla","saka_samvat":2378,"saka_samvatsara":"Nala","bengali_samvat":1863,"malayalam_era":1632,"nanakshahi_year":987,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 2513 Śukla · Śaka 2378 Nala"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2456-12-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 21, 2456 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 21, 2456 CE: Kṛṣṇa Navamī · Uttara Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2456-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2456-12-21","sa":"https://sa.vidhyamitra.com/day/2456-12-21","hi":"https://hi.vidhyamitra.com/day/2456-12-21","x-default":"https://vidhyamitra.com/day/2456-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-20T17:37:07.124Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-20T17:37:07.124Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}