{"id":"vidhyamitra:city-day:badrinath:2045-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-03","date_display":"October 3, 2045 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468256.770833,"kali_year":5147,"ahargana":1879791.2708,"sun":{"sidereal_longitude":164.8982,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":68.0502,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.152,"elapsed_within_tithi_degrees":11.152},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0502,"elapsed_within_degrees":1.3835},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.9484},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2045,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468256.770833,"ahargana":1879791.2708,"kali_year":5147,"ayanamsa_lahiri":24.4922,"grahas":{"sun":{"sidereal_longitude":165.75469799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":66.47359800000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":3.5234},"mars":{"sidereal_longitude":120.60219799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":182.26699800000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":309.09859800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":210.961998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":222.13069799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.6123,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.6123,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468256.770833,"kali_year":5147,"ahargana":1879791.2708,"sun":{"sidereal_longitude":164.8982,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":68.0502,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.152,"elapsed_within_tithi_degrees":11.152},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0502,"elapsed_within_degrees":1.3835},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.9484},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.523,"elongation":96.848},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.523,"opposition_distance":83.152}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"06:06","sunsetLocal":"17:54","solarNoonLocal":"12:00","dayLengthHours":11.807234723232131,"dayLengthDisplay":"11 Hours 48 Mins 26 Secs","nightLengthDisplay":"12 Hours 11 Mins 34 Secs","moonriseLocal":"22:20","moonsetLocal":"12:26","rahuKala":{"name":"Rāhu Kāla","start":"14:57","end":"16:26","startHours":14.95564986278211,"endHours":16.431554203186128,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:03","end":"10:32","startHours":9.052032501166044,"endHours":10.52793684157006,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:00","end":"13:29","startHours":12.003841181974078,"endHours":13.479745522378092,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.855245255778842,"endHours":9.248819746553247,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:54","startHours":6.592191933826017,"endHours":6.9070515264455405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:24","startHours":11.610266691199671,"endHours":12.397415672748481,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:32","end":"05:19","startHours":4.525925857260394,"endHours":5.313074838809203,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:07","end":"06:06","startHours":5.116287593422,"endHours":6.1002238203580115,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:46","startHours":13.971713635846099,"endHours":14.758862617394907,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.707458543590143,"endHours":18.10745854359014,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:24","startHours":17.907458543590142,"endHours":18.399426657058147,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.657458543590142,"endHours":19.407458543590142,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:24","startHours":23.61026669119967,"endHours":24.39741567274848,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:06","end":"07:35","startHours":6.1002238203580115,"endHours":7.576128160762028,"quality":"inauspicious"},{"name":"Udveg","start":"07:35","end":"09:03","startHours":7.576128160762028,"endHours":9.052032501166044,"quality":"inauspicious"},{"name":"Chala","start":"09:03","end":"10:32","startHours":9.052032501166044,"endHours":10.52793684157006,"quality":"neutral"},{"name":"Labha","start":"10:32","end":"12:00","startHours":10.52793684157006,"endHours":12.003841181974078,"quality":"auspicious"},{"name":"Amṛta","start":"12:00","end":"13:29","startHours":12.003841181974078,"endHours":13.479745522378092,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"14:57","startHours":13.479745522378092,"endHours":14.95564986278211,"quality":"inauspicious"},{"name":"Śubha","start":"14:57","end":"16:26","startHours":14.95564986278211,"endHours":16.431554203186128,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:54","startHours":16.431554203186128,"endHours":17.907458543590142,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:54","end":"19:26","startHours":17.907458543590142,"endHours":19.431554203186124,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"20:57","startHours":19.431554203186124,"endHours":20.95564986278211,"quality":"auspicious"},{"name":"Roga","start":"20:57","end":"22:29","startHours":20.95564986278211,"endHours":22.479745522378092,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"00:00","startHours":22.479745522378092,"endHours":24.003841181974074,"quality":"inauspicious"},{"name":"Chala","start":"00:00","end":"01:32","startHours":24.003841181974074,"endHours":25.52793684157006,"quality":"neutral"},{"name":"Labha","start":"01:32","end":"03:03","startHours":25.52793684157006,"endHours":27.052032501166043,"quality":"auspicious"},{"name":"Amṛta","start":"03:03","end":"04:35","startHours":27.052032501166043,"endHours":28.576128160762025,"quality":"auspicious"},{"name":"Kāla","start":"04:35","end":"06:06","startHours":28.576128160762025,"endHours":30.10022382035801,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.1002238203580115,"endHours":7.1002238203580115,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.1002238203580115,"endHours":8.10022382035801,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.10022382035801,"endHours":9.10022382035801,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.10022382035801,"endHours":10.10022382035801,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.10022382035801,"endHours":11.10022382035801,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.10022382035801,"endHours":12.10022382035801,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.10022382035801,"endHours":13.10022382035801,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.10022382035801,"endHours":14.10022382035801,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.10022382035801,"endHours":15.10022382035801,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.10022382035801,"endHours":16.10022382035801,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.10022382035801,"endHours":17.10022382035801,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.10022382035801,"endHours":18.10022382035801,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.10022382035801,"endHours":19.10022382035801,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.10022382035801,"endHours":20.10022382035801,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.10022382035801,"endHours":21.10022382035801,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.10022382035801,"endHours":22.10022382035801,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.10022382035801,"endHours":23.10022382035801,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.10022382035801,"endHours":24.10022382035801,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.10022382035801,"endHours":25.10022382035801,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.10022382035801,"endHours":26.10022382035801,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.10022382035801,"endHours":27.10022382035801,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.10022382035801,"endHours":28.10022382035801,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.10022382035801,"endHours":29.10022382035801,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.10022382035801,"endHours":30.10022382035801,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.057222935133532,"eotMinutes":11.794329081555436,"ayanamsa":24.4922}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 3, 2045 CE · Badarīnāth · Vidhyamitra","description":"October 3, 2045 CE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 06:06, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-10-03","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-10-03","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-10-03","x-default":"https://vidhyamitra.com/city/badrinath/2045-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T08:06:35.254Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-11T08:06:35.254Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T08:06:35.254Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}