{"id":"vidhyamitra:day:1639-12-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1639-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1639-12-13","date_display":"December 13, 1639 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":1639,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2320038.770833,"kali_year":4741,"ahargana":1731573.2708,"sun":{"sidereal_longitude":242.6239,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":93.9182,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.2943,"elapsed_within_tithi_degrees":7.2943},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9182,"elapsed_within_degrees":0.5849},"yoga":{"number":26,"name":"Indra","sum_longitude":336.5421},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1639,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2320038.770833,"ahargana":1731573.2708,"kali_year":4741,"ayanamsa_lahiri":18.8234,"grahas":{"sun":{"sidereal_longitude":242.13151500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":93.27891499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-2.9507},"mars":{"sidereal_longitude":201.35281499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":249.8965149999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":243.78081499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":234.00061499999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":300.37051500000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":232.9152,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.9152,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":1639,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2320038.770833,"kali_year":4741,"ahargana":1731573.2708,"sun":{"sidereal_longitude":242.6239,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":93.9182,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.2943,"elapsed_within_tithi_degrees":7.2943},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9182,"elapsed_within_degrees":0.5849},"yoga":{"number":26,"name":"Indra","sum_longitude":336.5421},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.951,"elongation":148.706},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.951,"opposition_distance":31.294}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":-0.546,"elongation":2.711}]},"calendars":{"vikram_samvat":1696,"vikram_samvatsara":"Nandana","saka_samvat":1561,"saka_samvatsara":"Pramāthi","bengali_samvat":1046,"malayalam_era":815,"nanakshahi_year":170,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 1696 Nandana · Śaka 1561 Pramāthi"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1639-12-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 13, 1639 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 13, 1639 CE: Kṛṣṇa Tṛtīyā · Puṣya.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1639-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1639-12-13","sa":"https://sa.vidhyamitra.com/day/1639-12-13","hi":"https://hi.vidhyamitra.com/day/1639-12-13","x-default":"https://vidhyamitra.com/day/1639-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-09T18:05:57.196Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-09T18:05:57.196Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}