{"id":"vidhyamitra:day:1621-12-01:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1621-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1621-12-01","date_display":"December 1, 1621 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":1621,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2313452.770833,"kali_year":4723,"ahargana":1724987.2708,"sun":{"sidereal_longitude":230.9941,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":74.119,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.1249,"elapsed_within_tithi_degrees":11.1249},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.119,"elapsed_within_degrees":7.4524},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.1131},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1621,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2313452.770833,"ahargana":1724987.2708,"kali_year":4723,"ayanamsa_lahiri":18.5715,"grahas":{"sun":{"sidereal_longitude":230.552949,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":73.81764899999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-2.3992},"mars":{"sidereal_longitude":296.874949,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":251.7940490000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":68.59164899999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":270.4616490000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":96.63394900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":221.8732,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.8732,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1621,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2313452.770833,"kali_year":4723,"ahargana":1724987.2708,"sun":{"sidereal_longitude":230.9941,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":74.119,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.1249,"elapsed_within_tithi_degrees":11.1249},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.119,"elapsed_within_degrees":7.4524},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.1131},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.399,"elongation":156.875},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.399,"opposition_distance":23.125}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-0.431,"opposition_distance":1.462}]},"calendars":{"vikram_samvat":1678,"vikram_samvatsara":"Bhāva","saka_samvat":1543,"saka_samvatsara":"Durmati","bengali_samvat":1028,"malayalam_era":797,"nanakshahi_year":152,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Dvitīyā · Vikram 1678 Bhāva · Śaka 1543 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1621-12-01T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 1, 1621 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 1, 1621 CE: Kṛṣṇa Dvitīyā · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1621-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1621-12-01","sa":"https://sa.vidhyamitra.com/day/1621-12-01","hi":"https://hi.vidhyamitra.com/day/1621-12-01","x-default":"https://vidhyamitra.com/day/1621-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-14T18:57:50.995Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-14T18:57:50.995Z","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"}}}