{"id":"vidhyamitra:day:1951-11-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1951-11-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-11-15","date_display":"November 15, 1951 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":1951,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433965.770833,"kali_year":5053,"ahargana":1845500.2708,"sun":{"sidereal_longitude":208.1823,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":46.29,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.1077,"elapsed_within_tithi_degrees":6.1077},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.29,"elapsed_within_degrees":6.29},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.4723},"karana":{"half_tithi_index":33,"name":"Gara"},"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":1951,"month":11,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433965.770833,"ahargana":1845500.2708,"kali_year":5053,"ayanamsa_lahiri":23.1807,"grahas":{"sun":{"sidereal_longitude":208.67936599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":44.40596599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":4.5},"mars":{"sidereal_longitude":152.16506600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":227.450966,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":342.088466,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":162.71016599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":167.99286600000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":316.5145,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":136.5145,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1951,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433965.770833,"kali_year":5053,"ahargana":1845500.2708,"sun":{"sidereal_longitude":208.1823,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":46.29,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.1077,"elapsed_within_tithi_degrees":6.1077},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.29,"elapsed_within_degrees":6.29},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.4723},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":161.892},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":18.108}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1951-11-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga November 15, 1951 CE · Vidhyamitra","description":"Vedic pañchāṅga for November 15, 1951 CE: Kṛṣṇa Dvitīyā · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1951-11-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1951-11-15","sa":"https://sa.vidhyamitra.com/day/1951-11-15","hi":"https://hi.vidhyamitra.com/day/1951-11-15","x-default":"https://vidhyamitra.com/day/1951-11-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T06:11:35.105Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T06:11:35.105Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}