{"id":"vidhyamitra:day:1778-01-04:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1778-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1778-01-04","date_display":"January 4, 1778 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":1778,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2370464.770833,"kali_year":4879,"ahargana":1781999.2708,"sun":{"sidereal_longitude":263.4792,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":325.8943,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.4151,"elapsed_within_tithi_degrees":2.4151},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.8943,"elapsed_within_degrees":5.8943},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.3736},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1778,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2370464.770833,"ahargana":1781999.2708,"kali_year":4879,"ayanamsa_lahiri":20.752,"grahas":{"sun":{"sidereal_longitude":263.13457100000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":323.6894709999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.0707},"mars":{"sidereal_longitude":303.06747099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":280.30347099999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":127.27617099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":247.02497100000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":205.24147100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":81.103,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.103,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":1778,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2370464.770833,"kali_year":4879,"ahargana":1781999.2708,"sun":{"sidereal_longitude":263.4792,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":325.8943,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.4151,"elapsed_within_tithi_degrees":2.4151},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.8943,"elapsed_within_degrees":5.8943},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.3736},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.071,"elongation":62.415},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.071,"opposition_distance":117.585}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":0.142,"elongation":1.224},{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":1.041,"opposition_distance":1.29}]},"calendars":{"vikram_samvat":1835,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1700,"saka_samvatsara":"Vilambī","bengali_samvat":1185,"malayalam_era":954,"nanakshahi_year":309,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 1835 Virodhakṛt · Śaka 1700 Vilambī"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1778-01-04T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 4, 1778 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 4, 1778 CE: Śukla Ṣaṣṭhī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1778-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1778-01-04","sa":"https://sa.vidhyamitra.com/day/1778-01-04","hi":"https://hi.vidhyamitra.com/day/1778-01-04","x-default":"https://vidhyamitra.com/day/1778-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T13:33:28.274Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T13:33:28.274Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}