{"id":"vidhyamitra:day:2178-01-03:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2178-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2178-01-03","date_display":"January 3, 2178 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":2178,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516560.770833,"kali_year":5279,"ahargana":1928095.2708,"sun":{"sidereal_longitude":255.7662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":57.6397,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.8735,"elapsed_within_tithi_degrees":5.8735},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.6397,"elapsed_within_degrees":4.3064},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.4059},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2178,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516560.770833,"ahargana":1928095.2708,"kali_year":5279,"ayanamsa_lahiri":26.3396,"grahas":{"sun":{"sidereal_longitude":256.4239299999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":58.40463,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":1.7274},"mars":{"sidereal_longitude":213.55543,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.03933000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":1.3130300000000261,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":264.58322999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":33.69303000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":260.2339,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.2339,"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":2178,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516560.770833,"kali_year":5279,"ahargana":1928095.2708,"sun":{"sidereal_longitude":255.7662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":57.6397,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.8735,"elapsed_within_tithi_degrees":5.8735},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.6397,"elapsed_within_degrees":4.3064},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.4059},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.727,"elongation":161.874},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.727,"opposition_distance":18.126}},"eclipse_window_40days":[{"offset_days":-14,"type":"solar","occurs":true,"moon_latitude":-1.455,"elongation":0.707},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":1.2,"elongation":2.654}]},"calendars":{"vikram_samvat":2235,"vikram_samvatsara":"Khara","saka_samvat":2100,"saka_samvatsara":"Bahudhānya","bengali_samvat":1585,"malayalam_era":1354,"nanakshahi_year":709,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2235 Khara · Śaka 2100 Bahudhānya"},"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":[]},"validity":{"eternal":false,"valid_from":"2178-01-03T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 3, 2178 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 3, 2178 CE: Śukla Caturdaśī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2178-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2178-01-03","sa":"https://sa.vidhyamitra.com/day/2178-01-03","hi":"https://hi.vidhyamitra.com/day/2178-01-03","x-default":"https://vidhyamitra.com/day/2178-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T20:50:24.747Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T20:50:24.747Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}