{"id":"vidhyamitra:city-day:badrinath:2045-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-11-01","date_display":"November 1, 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":"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":2045,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468285.770833,"kali_year":5147,"ahargana":1879820.2708,"sun":{"sidereal_longitude":193.7324,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.9038,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1714,"elapsed_within_tithi_degrees":5.1714},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.9038,"elapsed_within_degrees":10.9038},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.6362},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2045,"month":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468285.770833,"ahargana":1879820.2708,"kali_year":5147,"ayanamsa_lahiri":24.4933,"grahas":{"sun":{"sidereal_longitude":194.52769,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":90.95339000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":2.0533},"mars":{"sidereal_longitude":138.00928999999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":216.72339,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":308.06069,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":240.42889000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":224.88569000000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.0757,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.0757,"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":"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":2045,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468285.770833,"kali_year":5147,"ahargana":1879820.2708,"sun":{"sidereal_longitude":193.7324,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.9038,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1714,"elapsed_within_tithi_degrees":5.1714},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.9038,"elapsed_within_degrees":10.9038},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.6362},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.053,"elongation":102.829},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.053,"opposition_distance":77.171}},"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":"06:27","sunsetLocal":"17:24","solarNoonLocal":"11:56","dayLengthHours":10.954946278582248,"dayLengthDisplay":"10 Hours 57 Mins 18 Secs","nightLengthDisplay":"13 Hours 02 Mins 42 Secs","moonriseLocal":"22:05","moonsetLocal":"11:57","rahuKala":{"name":"Rāhu Kāla","start":"11:56","end":"13:18","startHours":11.926376118045116,"endHours":13.295744402867896,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:49","end":"09:11","startHours":7.818271263576773,"endHours":9.187639548399554,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"11:56","startHours":10.557007833222336,"endHours":11.926376118045116,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:22","startHours":9.005057110423184,"endHours":9.370221986375924,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:12","startHours":6.905359073694919,"endHours":7.1974909744571125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:17","startHours":11.561211242092375,"endHours":12.291540993997858,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:43","startHours":4.988243474943026,"endHours":5.718573226848509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:27","startHours":5.535990788872138,"endHours":6.448902978753992,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:29","startHours":13.752200497808824,"endHours":14.482530249714307,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.20384925733624,"endHours":17.60384925733624,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:52","startHours":17.40384925733624,"endHours":17.860305352277166,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.15384925733624,"endHours":18.90384925733624,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:17","startHours":23.561211242092373,"endHours":24.29154099399786,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:27","end":"07:49","startHours":6.448902978753992,"endHours":7.818271263576773,"quality":"auspicious"},{"name":"Amṛta","start":"07:49","end":"09:11","startHours":7.818271263576773,"endHours":9.187639548399554,"quality":"auspicious"},{"name":"Kāla","start":"09:11","end":"10:33","startHours":9.187639548399554,"endHours":10.557007833222336,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"11:56","startHours":10.557007833222336,"endHours":11.926376118045116,"quality":"auspicious"},{"name":"Roga","start":"11:56","end":"13:18","startHours":11.926376118045116,"endHours":13.295744402867896,"quality":"inauspicious"},{"name":"Udveg","start":"13:18","end":"14:40","startHours":13.295744402867896,"endHours":14.665112687690678,"quality":"inauspicious"},{"name":"Chala","start":"14:40","end":"16:02","startHours":14.665112687690678,"endHours":16.03448097251346,"quality":"neutral"},{"name":"Labha","start":"16:02","end":"17:24","startHours":16.03448097251346,"endHours":17.40384925733624,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:24","end":"19:02","startHours":17.40384925733624,"endHours":19.03448097251346,"quality":"inauspicious"},{"name":"Chala","start":"19:02","end":"20:40","startHours":19.03448097251346,"endHours":20.66511268769068,"quality":"neutral"},{"name":"Labha","start":"20:40","end":"22:18","startHours":20.66511268769068,"endHours":22.295744402867896,"quality":"auspicious"},{"name":"Amṛta","start":"22:18","end":"23:56","startHours":22.295744402867896,"endHours":23.926376118045116,"quality":"auspicious"},{"name":"Kāla","start":"23:56","end":"01:33","startHours":23.926376118045116,"endHours":25.557007833222336,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"03:11","startHours":25.557007833222336,"endHours":27.187639548399552,"quality":"auspicious"},{"name":"Roga","start":"03:11","end":"04:49","startHours":27.187639548399552,"endHours":28.818271263576772,"quality":"inauspicious"},{"name":"Udveg","start":"04:49","end":"06:27","startHours":28.818271263576772,"endHours":30.448902978753992,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.448902978753992,"endHours":7.448902978753992,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.448902978753992,"endHours":8.448902978753992,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.448902978753992,"endHours":9.448902978753992,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.448902978753992,"endHours":10.448902978753992,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.448902978753992,"endHours":11.448902978753992,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.448902978753992,"endHours":12.448902978753992,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.448902978753992,"endHours":13.448902978753992,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.448902978753992,"endHours":14.448902978753992,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.448902978753992,"endHours":15.448902978753992,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.448902978753992,"endHours":16.448902978753992,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.448902978753992,"endHours":17.448902978753992,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.448902978753992,"endHours":18.448902978753992,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.448902978753992,"endHours":19.448902978753992,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.448902978753992,"endHours":20.448902978753992,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.448902978753992,"endHours":21.448902978753992,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.448902978753992,"endHours":22.448902978753992,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.448902978753992,"endHours":23.448902978753992,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.448902978753992,"endHours":24.448902978753992,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.448902978753992,"endHours":25.448902978753992,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.448902978753992,"endHours":26.448902978753992,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.448902978753992,"endHours":27.448902978753992,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.448902978753992,"endHours":28.448902978753992,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.448902978753992,"endHours":29.448902978753992,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.448902978753992,"endHours":30.448902978753992,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.502033631822995,"eotMinutes":16.442232917293087,"ayanamsa":24.4933}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 November 1, 2045 CE · Badarīnāth · Vidhyamitra","description":"November 1, 2045 CE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 06:27, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-11-01","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-11-01","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-11-01","x-default":"https://vidhyamitra.com/city/badrinath/2045-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:24:24.971Z","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":"2026-06-02T16:24:24.971Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:24:24.971Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}