{"id":"vidhyamitra:day:2105-01-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2105-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2105-01-21","date_display":"January 21, 2105 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":2105,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489915.770833,"kali_year":5206,"ahargana":1901450.2708,"sun":{"sidereal_longitude":275.1737,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":335.0082,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.8345,"elapsed_within_tithi_degrees":11.8345},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.0082,"elapsed_within_degrees":1.6749},"yoga":{"number":19,"name":"Parigha","sum_longitude":250.1819},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2105,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489915.770833,"ahargana":1901450.2708,"kali_year":5206,"ayanamsa_lahiri":25.3205,"grahas":{"sun":{"sidereal_longitude":275.49636499999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":335.700065,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":4.3845},"mars":{"sidereal_longitude":272.224465,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":274.15056500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":308.436365,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":315.302765,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":234.51356499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":232.0142,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.0142,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2105,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489915.770833,"kali_year":5206,"ahargana":1901450.2708,"sun":{"sidereal_longitude":275.1737,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":335.0082,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.8345,"elapsed_within_tithi_degrees":11.8345},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.0082,"elapsed_within_degrees":1.6749},"yoga":{"number":19,"name":"Parigha","sum_longitude":250.1819},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.385,"elongation":59.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.385,"opposition_distance":120.165}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2162,"vikram_samvatsara":"Bahudhānya","saka_samvat":2027,"saka_samvatsara":"Krodhana","bengali_samvat":1512,"malayalam_era":1281,"nanakshahi_year":636,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram 2162 Bahudhānya · Śaka 2027 Krodhana"},"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":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]},{"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":"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":"2105-01-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 21, 2105 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 21, 2105 CE: Śukla Pañcamī · Uttara Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2105-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2105-01-21","sa":"https://sa.vidhyamitra.com/day/2105-01-21","hi":"https://hi.vidhyamitra.com/day/2105-01-21","x-default":"https://vidhyamitra.com/day/2105-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:41:23.333Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T18:41:23.333Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}