{"id":"vidhyamitra:day:2121-01-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2121-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-30","date_display":"January 30, 2121 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":2121,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495768.770833,"kali_year":5222,"ahargana":1907303.2708,"sun":{"sidereal_longitude":284.2521,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":63.4437,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.1917,"elapsed_within_tithi_degrees":7.1917},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.4437,"elapsed_within_degrees":10.1104},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.6958},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2121,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495768.770833,"ahargana":1907303.2708,"kali_year":5222,"ayanamsa_lahiri":25.5444,"grahas":{"sun":{"sidereal_longitude":284.54423700000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.14583700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":2.7965},"mars":{"sidereal_longitude":117.44883699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":262.304037,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":85.59283699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":315.14613699999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":61.03993700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":281.8941,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":101.8941,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2121,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495768.770833,"kali_year":5222,"ahargana":1907303.2708,"sun":{"sidereal_longitude":284.2521,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":63.4437,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.1917,"elapsed_within_tithi_degrees":7.1917},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.4437,"elapsed_within_degrees":10.1104},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.6958},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.797,"elongation":139.192},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.797,"opposition_distance":40.808}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Dvādaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":"2121-01-30T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 30, 2121 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 30, 2121 CE: Śukla Dvādaśī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2121-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2121-01-30","sa":"https://sa.vidhyamitra.com/day/2121-01-30","hi":"https://hi.vidhyamitra.com/day/2121-01-30","x-default":"https://vidhyamitra.com/day/2121-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T16:33:25.838Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-16T16:33:25.838Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}