{"id":"vidhyamitra:day:2013-11-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2013-11-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-11-20","date_display":"November 20, 2013 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":2013,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456616.770833,"kali_year":5115,"ahargana":1868151.2708,"sun":{"sidereal_longitude":213.2117,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":63.1399,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.9282,"elapsed_within_tithi_degrees":5.9282},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":63.1399,"elapsed_within_degrees":9.8066},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.3516},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2013,"month":11,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456616.770833,"ahargana":1868151.2708,"kali_year":5115,"ayanamsa_lahiri":24.047,"grahas":{"sun":{"sidereal_longitude":213.82573100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":60.75553100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-3.2779},"mars":{"sidereal_longitude":146.256231,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":194.348931,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":85.57733100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":259.114831,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":201.54333099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":196.3555,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":16.3555,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456616.770833,"kali_year":5115,"ahargana":1868151.2708,"sun":{"sidereal_longitude":213.2117,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":63.1399,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.9282,"elapsed_within_tithi_degrees":5.9282},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":63.1399,"elapsed_within_degrees":9.8066},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.3516},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.278,"elongation":150.072},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.278,"opposition_distance":29.928}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Tṛtīyā · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2013-11-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga November 20, 2013 CE · Vidhyamitra","description":"Vedic pañchāṅga for November 20, 2013 CE: Kṛṣṇa Tṛtīyā · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2013-11-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2013-11-20","sa":"https://sa.vidhyamitra.com/day/2013-11-20","hi":"https://hi.vidhyamitra.com/day/2013-11-20","x-default":"https://vidhyamitra.com/day/2013-11-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:24:34.015Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T15:24:34.015Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}