{"id":"vidhyamitra:day:1690-01-16:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1690-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1690-01-16","date_display":"January 16, 1690 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":1690,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2338335.770833,"kali_year":4791,"ahargana":1749870.2708,"sun":{"sidereal_longitude":277.6187,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":342.9591,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.3404,"elapsed_within_tithi_degrees":5.3404},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.9591,"elapsed_within_degrees":9.6258},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.5778},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1690,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2338335.770833,"ahargana":1749870.2708,"kali_year":4791,"ayanamsa_lahiri":19.5232,"grahas":{"sun":{"sidereal_longitude":276.9581350000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":339.9506349999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-0.0387},"mars":{"sidereal_longitude":22.440634999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":272.526035,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":318.93373500000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":258.51753499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":211.94143499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":343.4521,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.4521,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":1690,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2338335.770833,"kali_year":4791,"ahargana":1749870.2708,"sun":{"sidereal_longitude":277.6187,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":342.9591,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.3404,"elapsed_within_tithi_degrees":5.3404},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.9591,"elapsed_within_degrees":9.6258},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.5778},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.039,"elongation":65.34},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.039,"opposition_distance":114.66}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1747,"vikram_samvatsara":"Subhānu","saka_samvat":1612,"saka_samvatsara":"Pramoda","bengali_samvat":1097,"malayalam_era":866,"nanakshahi_year":221,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ṣaṣṭhī · Vikram 1747 Subhānu · Śaka 1612 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1690-01-16T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 16, 1690 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 16, 1690 CE: Śukla Ṣaṣṭhī · Uttara Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1690-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1690-01-16","sa":"https://sa.vidhyamitra.com/day/1690-01-16","hi":"https://hi.vidhyamitra.com/day/1690-01-16","x-default":"https://vidhyamitra.com/day/1690-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T18:15:28.609Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T18:15:28.609Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}