{"id":"vidhyamitra:city-day:badrinath:2030-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2030-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-10-15","date_display":"October 15, 2030 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":2030,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462789.770833,"kali_year":5132,"ahargana":1874324.2708,"sun":{"sidereal_longitude":176.6404,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.0874,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.447,"elapsed_within_tithi_degrees":7.447},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.0874,"elapsed_within_degrees":0.0874},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.7277},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2030,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462789.770833,"ahargana":1874324.2708,"kali_year":5132,"ayanamsa_lahiri":24.2831,"grahas":{"sun":{"sidereal_longitude":177.44957699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":37.68087700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":0.7182},"mars":{"sidereal_longitude":133.02867700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":179.103477,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":214.19957699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":175.63767699999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":44.004277,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":229.2803,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":49.2803,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":"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":2030,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462789.770833,"kali_year":5132,"ahargana":1874324.2708,"sun":{"sidereal_longitude":176.6404,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.0874,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.447,"elapsed_within_tithi_degrees":7.447},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.0874,"elapsed_within_degrees":0.0874},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.7277},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.718,"elongation":136.553},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.718,"opposition_distance":43.447}},"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":"06:14","sunsetLocal":"17:41","solarNoonLocal":"11:57","dayLengthHours":11.45363808665698,"dayLengthDisplay":"11 Hours 27 Mins 13 Secs","nightLengthDisplay":"12 Hours 32 Mins 47 Secs","moonriseLocal":"19:44","moonsetLocal":"09:33","rahuKala":{"name":"Rāhu Kāla","start":"14:49","end":"16:15","startHours":14.816209015475778,"endHours":16.2479137763079,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:31","startHours":9.089389972147288,"endHours":10.52109473297941,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:57","end":"13:23","startHours":11.952799493811533,"endHours":13.384504254643655,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:17","startHours":8.898496004036339,"endHours":9.280283940258238,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.703215370760418,"endHours":7.008645719737937,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:20","startHours":11.571011557589634,"endHours":12.334587430033432,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:28","startHours":4.698828705595446,"endHours":5.462404578039245,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:14","startHours":5.271510609928296,"endHours":6.225980450483044,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:38","startHours":13.86173917492103,"endHours":14.625315047364829,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.479618537140023,"endHours":17.879618537140022,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.679618537140023,"endHours":18.156853457417398,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.429618537140023,"endHours":19.179618537140023,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:20","startHours":23.57101155758963,"endHours":24.334587430033434,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:14","end":"07:39","startHours":6.225980450483044,"endHours":7.657685211315166,"quality":"inauspicious"},{"name":"Udveg","start":"07:39","end":"09:05","startHours":7.657685211315166,"endHours":9.089389972147288,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:31","startHours":9.089389972147288,"endHours":10.52109473297941,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"11:57","startHours":10.52109473297941,"endHours":11.952799493811533,"quality":"auspicious"},{"name":"Amṛta","start":"11:57","end":"13:23","startHours":11.952799493811533,"endHours":13.384504254643655,"quality":"auspicious"},{"name":"Kāla","start":"13:23","end":"14:49","startHours":13.384504254643655,"endHours":14.816209015475778,"quality":"inauspicious"},{"name":"Śubha","start":"14:49","end":"16:15","startHours":14.816209015475778,"endHours":16.2479137763079,"quality":"auspicious"},{"name":"Roga","start":"16:15","end":"17:41","startHours":16.2479137763079,"endHours":17.679618537140023,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:41","end":"19:15","startHours":17.679618537140023,"endHours":19.2479137763079,"quality":"inauspicious"},{"name":"Śubha","start":"19:15","end":"20:49","startHours":19.2479137763079,"endHours":20.816209015475778,"quality":"auspicious"},{"name":"Roga","start":"20:49","end":"22:23","startHours":20.816209015475778,"endHours":22.384504254643655,"quality":"inauspicious"},{"name":"Udveg","start":"22:23","end":"23:57","startHours":22.384504254643655,"endHours":23.952799493811533,"quality":"inauspicious"},{"name":"Chala","start":"23:57","end":"01:31","startHours":23.952799493811533,"endHours":25.52109473297941,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"03:05","startHours":25.52109473297941,"endHours":27.089389972147288,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:39","startHours":27.089389972147288,"endHours":28.657685211315165,"quality":"auspicious"},{"name":"Kāla","start":"04:39","end":"06:14","startHours":28.657685211315165,"endHours":30.225980450483043,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.225980450483044,"endHours":7.225980450483044,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.225980450483044,"endHours":8.225980450483043,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.225980450483043,"endHours":9.225980450483043,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.225980450483043,"endHours":10.225980450483043,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.225980450483043,"endHours":11.225980450483043,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.225980450483043,"endHours":12.225980450483043,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.225980450483043,"endHours":13.225980450483043,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.225980450483043,"endHours":14.225980450483043,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.225980450483043,"endHours":15.225980450483043,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.225980450483043,"endHours":16.225980450483043,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.225980450483043,"endHours":17.225980450483043,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.225980450483043,"endHours":18.225980450483043,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.225980450483043,"endHours":19.225980450483043,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.225980450483043,"endHours":20.225980450483043,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.225980450483043,"endHours":21.225980450483043,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.225980450483043,"endHours":22.225980450483043,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.225980450483043,"endHours":23.225980450483043,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.225980450483043,"endHours":24.225980450483043,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.225980450483043,"endHours":25.225980450483043,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.225980450483043,"endHours":26.225980450483043,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.225980450483043,"endHours":27.225980450483043,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.225980450483043,"endHours":28.225980450483043,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.225980450483043,"endHours":29.225980450483043,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.225980450483043,"endHours":30.225980450483043,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","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":-8.46881135620561,"eotMinutes":14.85683037130801,"ayanamsa":24.2831}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","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":"Kārtika Kṛṣṇa Caturthī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Karvā Chauth · Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī is not live yet; 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 15, 2030 CE · Badarīnāth · Vidhyamitra","description":"October 15, 2030 CE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 06:14, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2030-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2030-10-15","sa":"https://sa.vidhyamitra.com/city/badrinath/2030-10-15","hi":"https://hi.vidhyamitra.com/city/badrinath/2030-10-15","x-default":"https://vidhyamitra.com/city/badrinath/2030-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T14:54:15.415Z","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":"2026-09-11T14:54:15.415Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T14:54:15.415Z","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"}}}