{"id":"vidhyamitra:day:2037-01-03:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2037-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2037-01-03","date_display":"January 3, 2037 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":2037,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465061.770833,"kali_year":5138,"ahargana":1876596.2708,"sun":{"sidereal_longitude":258.3207,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":89.0213,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.7005,"elapsed_within_tithi_degrees":10.7005},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0213,"elapsed_within_degrees":9.0213},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.342},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2037,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465061.770833,"ahargana":1876596.2708,"kali_year":5138,"ayanamsa_lahiri":24.37,"grahas":{"sun":{"sidereal_longitude":258.62467000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":91.39486999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-1.5287},"mars":{"sidereal_longitude":224.33307000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":239.80087000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":53.17286999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":239.43687,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":127.61006999999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":108.8988,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":288.8988,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"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":2037,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465061.770833,"kali_year":5138,"ahargana":1876596.2708,"sun":{"sidereal_longitude":258.3207,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":89.0213,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.7005,"elapsed_within_tithi_degrees":10.7005},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0213,"elapsed_within_degrees":9.0213},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.342},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.529,"elongation":169.299},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.529,"opposition_distance":10.701}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":1.49,"elongation":2.819}]},"calendars":{"vikram_samvat":2094,"vikram_samvatsara":"Pramoda","saka_samvat":1959,"saka_samvatsara":"Piṅgala","bengali_samvat":1444,"malayalam_era":1213,"nanakshahi_year":568,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2094 Pramoda · Śaka 1959 Piṅgala"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2037-01-03T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 3, 2037 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 3, 2037 CE: Kṛṣṇa Pratipada · Punarvasu.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2037-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2037-01-03","sa":"https://sa.vidhyamitra.com/day/2037-01-03","hi":"https://hi.vidhyamitra.com/day/2037-01-03","x-default":"https://vidhyamitra.com/day/2037-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:58:39.753Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T20:58:39.753Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}