{"id":"vidhyamitra:day:2050-02-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2050-02-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-02-13","date_display":"February 13, 2050 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":2050,"month":2,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469850.770833,"kali_year":5151,"ahargana":1881385.2708,"sun":{"sidereal_longitude":299.9315,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":191.7433,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.8118,"elapsed_within_tithi_degrees":11.8118},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.7433,"elapsed_within_degrees":5.0766},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.6748},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2050,"month":2,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469850.770833,"ahargana":1881385.2708,"kali_year":5151,"ayanamsa_lahiri":24.5531,"grahas":{"sun":{"sidereal_longitude":299.9611950000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":187.98439499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-1.7864},"mars":{"sidereal_longitude":229.649095,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":284.550295,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":91.04559499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"venus":{"sidereal_longitude":310.055295,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":277.364195,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":215.1545,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.1545,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2050,"month":2,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469850.770833,"kali_year":5151,"ahargana":1881385.2708,"sun":{"sidereal_longitude":299.9315,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":191.7433,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.8118,"elapsed_within_tithi_degrees":11.8118},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.7433,"elapsed_within_degrees":5.0766},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.6748},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.786,"elongation":108.188},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.786,"opposition_distance":71.812}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2050-02-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga February 13, 2050 CE · Vidhyamitra","description":"Vedic pañchāṅga for February 13, 2050 CE: Kṛṣṇa Ṣaṣṭhī · Svātī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2050-02-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2050-02-13","sa":"https://sa.vidhyamitra.com/day/2050-02-13","hi":"https://hi.vidhyamitra.com/day/2050-02-13","x-default":"https://vidhyamitra.com/day/2050-02-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:30:02.913Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T18:30:02.913Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}