{"id":"vidhyamitra:day:2082-01-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2082-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-01-15","date_display":"January 15, 2082 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":2082,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481509.770833,"kali_year":5183,"ahargana":1893044.2708,"sun":{"sidereal_longitude":269.9914,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":91.9866,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.9952,"elapsed_within_tithi_degrees":1.9952},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.9866,"elapsed_within_degrees":11.9866},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":1.978},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":2082,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481509.770833,"ahargana":1893044.2708,"kali_year":5183,"ayanamsa_lahiri":24.999,"grahas":{"sun":{"sidereal_longitude":270.30153599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":93.987436,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.2035},"mars":{"sidereal_longitude":214.17533600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.829036,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":328.5670359999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":275.501136,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":300.324036,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":317.4046,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.4046,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2082,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481509.770833,"kali_year":5183,"ahargana":1893044.2708,"sun":{"sidereal_longitude":269.9914,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":91.9866,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.9952,"elapsed_within_tithi_degrees":1.9952},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.9866,"elapsed_within_degrees":11.9866},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":1.978},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.203,"elongation":178.005},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.203,"opposition_distance":1.995}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"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":"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2082-01-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 15, 2082 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 15, 2082 CE: Kṛṣṇa Pratipada · Punarvasu.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2082-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2082-01-15","sa":"https://sa.vidhyamitra.com/day/2082-01-15","hi":"https://hi.vidhyamitra.com/day/2082-01-15","x-default":"https://vidhyamitra.com/day/2082-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T06:04:34.722Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T06:04:34.722Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}