{"id":"vidhyamitra:city-day:badrinath:2072-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2072-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-10-01","date_display":"October 1, 2072 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":2072,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478116.770833,"kali_year":5174,"ahargana":1889651.2708,"sun":{"sidereal_longitude":162.9447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.9882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0435,"elapsed_within_tithi_degrees":8.0435},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.9882,"elapsed_within_degrees":0.3216},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.9329},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2072,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478116.770833,"ahargana":1889651.2708,"kali_year":5174,"ayanamsa_lahiri":24.8693,"grahas":{"sun":{"sidereal_longitude":163.86647300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":25.006872999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-4.2229},"mars":{"sidereal_longitude":188.330373,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":185.57257300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":73.65117299999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":197.36947299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.37917300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":137.182,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2072,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478116.770833,"kali_year":5174,"ahargana":1889651.2708,"sun":{"sidereal_longitude":162.9447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.9882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0435,"elapsed_within_tithi_degrees":8.0435},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.9882,"elapsed_within_degrees":0.3216},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.9329},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.223,"elongation":135.956},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.223,"opposition_distance":44.044}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-1.437,"opposition_distance":2.978}]},"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":"06:05","sunsetLocal":"17:56","solarNoonLocal":"12:01","dayLengthHours":11.854473327404673,"dayLengthDisplay":"11 Hours 51 Mins 16 Secs","nightLengthDisplay":"12 Hours 08 Mins 44 Secs","moonriseLocal":"19:59","moonsetLocal":"09:32","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:32","startHours":9.050665598372424,"endHours":10.532474764298009,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"14:59","startHours":13.496093096149178,"endHours":14.97790226207476,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:05","end":"07:34","startHours":6.087047266521256,"endHours":7.5688564324468395,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.853091042915679,"endHours":9.248240153829169,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:54","startHours":6.580983655163117,"endHours":6.897102943893909,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:25","startHours":11.619134819310103,"endHours":12.409433041137083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:18","startHours":4.5064508228673,"endHours":5.296749044694278,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:05","startHours":5.099174489237533,"endHours":6.087047266521256,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:47","startHours":13.990029484791037,"endHours":14.780327706618015,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.74152059392593,"endHours":18.14152059392593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:26","startHours":17.94152059392593,"endHours":18.43545698256779,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.69152059392593,"endHours":19.44152059392593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:25","startHours":23.6191348193101,"endHours":24.40943304113708,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:05","end":"07:34","startHours":6.087047266521256,"endHours":7.5688564324468395,"quality":"inauspicious"},{"name":"Śubha","start":"07:34","end":"09:03","startHours":7.5688564324468395,"endHours":9.050665598372424,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:32","startHours":9.050665598372424,"endHours":10.532474764298009,"quality":"inauspicious"},{"name":"Udveg","start":"10:32","end":"12:01","startHours":10.532474764298009,"endHours":12.014283930223591,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:30","startHours":12.014283930223591,"endHours":13.496093096149178,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"14:59","startHours":13.496093096149178,"endHours":14.97790226207476,"quality":"auspicious"},{"name":"Amṛta","start":"14:59","end":"16:28","startHours":14.97790226207476,"endHours":16.459711428000343,"quality":"auspicious"},{"name":"Kāla","start":"16:28","end":"17:56","startHours":16.459711428000343,"endHours":17.94152059392593,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:56","end":"19:28","startHours":17.94152059392593,"endHours":19.459711428000347,"quality":"auspicious"},{"name":"Amṛta","start":"19:28","end":"20:59","startHours":19.459711428000347,"endHours":20.97790226207476,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:30","startHours":20.97790226207476,"endHours":22.496093096149178,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"00:01","startHours":22.496093096149178,"endHours":24.01428393022359,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:32","startHours":24.01428393022359,"endHours":25.53247476429801,"quality":"inauspicious"},{"name":"Udveg","start":"01:32","end":"03:03","startHours":25.53247476429801,"endHours":27.050665598372426,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:34","startHours":27.050665598372426,"endHours":28.568856432446843,"quality":"neutral"},{"name":"Labha","start":"04:34","end":"06:05","startHours":28.568856432446843,"endHours":30.087047266521257,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.087047266521256,"endHours":7.087047266521256,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.087047266521256,"endHours":8.087047266521257,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.087047266521257,"endHours":9.087047266521257,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.087047266521257,"endHours":10.087047266521257,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.087047266521257,"endHours":11.087047266521257,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.087047266521257,"endHours":12.087047266521257,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.087047266521257,"endHours":13.087047266521257,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.087047266521257,"endHours":14.087047266521257,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.087047266521257,"endHours":15.087047266521257,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.087047266521257,"endHours":16.087047266521257,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.087047266521257,"endHours":17.087047266521257,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.087047266521257,"endHours":18.087047266521257,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.087047266521257,"endHours":19.087047266521257,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.087047266521257,"endHours":20.087047266521257,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.087047266521257,"endHours":21.087047266521257,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.087047266521257,"endHours":22.087047266521257,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.087047266521257,"endHours":23.087047266521257,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.087047266521257,"endHours":24.087047266521257,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.087047266521257,"endHours":25.087047266521257,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.087047266521257,"endHours":26.087047266521257,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.087047266521257,"endHours":27.087047266521257,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.087047266521257,"endHours":28.087047266521257,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.087047266521257,"endHours":29.087047266521257,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.087047266521257,"endHours":30.087047266521257,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":-3.4631628267924466,"eotMinutes":11.167764186584405,"ayanamsa":24.8693}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"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 Caturthī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[{"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 1, 2072 CE · Badarīnāth · Vidhyamitra","description":"October 1, 2072 CE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 06:05, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2072-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2072-10-01","sa":"https://sa.vidhyamitra.com/city/badrinath/2072-10-01","hi":"https://hi.vidhyamitra.com/city/badrinath/2072-10-01","x-default":"https://vidhyamitra.com/city/badrinath/2072-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:33:43.929Z","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":"2026-06-01T13:33:43.929Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:33:43.929Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}