{"id":"vidhyamitra:day:2450-01-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2450-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2450-01-13","date_display":"January 13, 2450 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":2450,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2615916.770833,"kali_year":5551,"ahargana":2027451.2708,"sun":{"sidereal_longitude":261.5423,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.2029,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.6606,"elapsed_within_tithi_degrees":8.6606},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.2029,"elapsed_within_degrees":6.2029},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.7452},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2450,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2615916.770833,"ahargana":2027451.2708,"kali_year":5551,"ayanamsa_lahiri":30.1396,"grahas":{"sun":{"sidereal_longitude":262.79150000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":248.0598,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-2.2705},"mars":{"sidereal_longitude":61.483299999999986,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.09760000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":330.4019,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":289.0443,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":130.2027,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":35.8749,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.8749,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2450,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2615916.770833,"kali_year":5551,"ahargana":2027451.2708,"sun":{"sidereal_longitude":261.5423,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.2029,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.6606,"elapsed_within_tithi_degrees":8.6606},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.2029,"elapsed_within_degrees":6.2029},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.7452},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.271,"elongation":15.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.271,"opposition_distance":164.661}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2507,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":2372,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1857,"malayalam_era":1626,"nanakshahi_year":981,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturdaśī · Vikram 2507 Rudhirodgāri · Śaka 2372 Sādhāraṇa"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Māsika Śivarātri is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2450-01-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 13, 2450 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 13, 2450 CE: Kṛṣṇa Caturdaśī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2450-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2450-01-13","sa":"https://sa.vidhyamitra.com/day/2450-01-13","hi":"https://hi.vidhyamitra.com/day/2450-01-13","x-default":"https://vidhyamitra.com/day/2450-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-18T12:28:15.334Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-18T12:28:15.334Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}