{"id":"vidhyamitra:day:2172-11-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2172-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-11-13","date_display":"November 13, 2172 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":2172,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514683.770833,"kali_year":5274,"ahargana":1926218.2708,"sun":{"sidereal_longitude":203.947,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":163.8772,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.9302,"elapsed_within_tithi_degrees":7.9302},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":163.8772,"elapsed_within_degrees":3.8772},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.8241},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2172,"month":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514683.770833,"ahargana":1926218.2708,"kali_year":5274,"ayanamsa_lahiri":26.2678,"grahas":{"sun":{"sidereal_longitude":204.99814500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":164.093845,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":1.2248},"mars":{"sidereal_longitude":257.21034499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":189.43064500000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":209.43464500000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":181.79374499999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":326.502745,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":359.6864,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":179.6864,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514683.770833,"kali_year":5274,"ahargana":1926218.2708,"sun":{"sidereal_longitude":203.947,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":163.8772,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.9302,"elapsed_within_tithi_degrees":7.9302},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":163.8772,"elapsed_within_degrees":3.8772},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.8241},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.225,"elongation":40.07},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.225,"opposition_distance":139.93}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvādaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"govatsa-dwadashi","name":"Govatsa Dvādaśī (Vaccha Bāras)","name_sanskrit":"गोवत्स द्वादशी","tradition":"Vaishnava","associated_deity":"Krishna + Gomātā","significance":"Worship of cow + calf; pre-Diwali day.","vrata":true,"detection":{"tithi_number":27,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":4},{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2172-11-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga November 13, 2172 CE · Vidhyamitra","description":"Vedic pañchāṅga for November 13, 2172 CE: Kṛṣṇa Dvādaśī · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2172-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2172-11-13","sa":"https://sa.vidhyamitra.com/day/2172-11-13","hi":"https://hi.vidhyamitra.com/day/2172-11-13","x-default":"https://vidhyamitra.com/day/2172-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T22:11:53.442Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T22:11:53.442Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}