{"id":"vidhyamitra:city-day:badrinath:2045-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-01","date_display":"October 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":"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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468254.770833,"kali_year":5147,"ahargana":1879789.2708,"sun":{"sidereal_longitude":162.9314,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.9986,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":238.0672,"elapsed_within_tithi_degrees":10.0672},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.9986,"elapsed_within_degrees":0.9986},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.93},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468254.770833,"ahargana":1879789.2708,"kali_year":5147,"ayanamsa_lahiri":24.4921,"grahas":{"sun":{"sidereal_longitude":163.787774,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":39.687073999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":4.4129},"mars":{"sidereal_longitude":119.37397399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":179.231674,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":309.266174,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":208.786474,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":221.97147399999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.7183,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.7183,"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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468254.770833,"kali_year":5147,"ahargana":1879789.2708,"sun":{"sidereal_longitude":162.9314,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.9986,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":238.0672,"elapsed_within_tithi_degrees":10.0672},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.9986,"elapsed_within_degrees":0.9986},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.93},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.413,"elongation":121.933},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.413,"opposition_distance":58.067}},"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":"06:05","sunsetLocal":"17:57","solarNoonLocal":"12:01","dayLengthHours":11.868747513101585,"dayLengthDisplay":"11 Hours 52 Mins 07 Secs","nightLengthDisplay":"12 Hours 07 Mins 53 Secs","moonriseLocal":"20:49","moonsetLocal":"10:40","rahuKala":{"name":"Rāhu Kāla","start":"16:28","end":"17:57","startHours":16.465064247636686,"endHours":17.948657686774386,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:01","end":"13:30","startHours":12.014283930223591,"endHours":13.49787736936129,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:28","startHours":14.98147080849899,"endHours":16.465064247636686,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.849284593396503,"endHours":9.24490951049989,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.574441320052032,"endHours":6.890941253734741,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:25","startHours":11.618659013120206,"endHours":12.40990884732698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:17","startHours":4.497410505259255,"endHours":5.288660339466027,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:05","startHours":5.0908478809143345,"endHours":6.0799101736728,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:47","startHours":13.992408515740522,"endHours":14.783658349947293,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.748657686774386,"endHours":18.148657686774385,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:27","startHours":17.948657686774386,"endHours":18.44318883315362,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.698657686774386,"endHours":19.448657686774386,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:25","startHours":23.618659013120205,"endHours":24.409908847326978,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:05","end":"07:34","startHours":6.0799101736728,"endHours":7.563503612810498,"quality":"inauspicious"},{"name":"Chala","start":"07:34","end":"09:03","startHours":7.563503612810498,"endHours":9.047097051948196,"quality":"neutral"},{"name":"Labha","start":"09:03","end":"10:32","startHours":9.047097051948196,"endHours":10.530690491085895,"quality":"auspicious"},{"name":"Amṛta","start":"10:32","end":"12:01","startHours":10.530690491085895,"endHours":12.014283930223591,"quality":"auspicious"},{"name":"Kāla","start":"12:01","end":"13:30","startHours":12.014283930223591,"endHours":13.49787736936129,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:59","startHours":13.49787736936129,"endHours":14.98147080849899,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:28","startHours":14.98147080849899,"endHours":16.465064247636686,"quality":"inauspicious"},{"name":"Udveg","start":"16:28","end":"17:57","startHours":16.465064247636686,"endHours":17.948657686774386,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:57","end":"19:28","startHours":17.948657686774386,"endHours":19.465064247636686,"quality":"auspicious"},{"name":"Roga","start":"19:28","end":"20:59","startHours":19.465064247636686,"endHours":20.98147080849899,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:30","startHours":20.98147080849899,"endHours":22.49787736936129,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:01","startHours":22.49787736936129,"endHours":24.01428393022359,"quality":"neutral"},{"name":"Labha","start":"00:01","end":"01:32","startHours":24.01428393022359,"endHours":25.530690491085895,"quality":"auspicious"},{"name":"Amṛta","start":"01:32","end":"03:03","startHours":25.530690491085895,"endHours":27.047097051948196,"quality":"auspicious"},{"name":"Kāla","start":"03:03","end":"04:34","startHours":27.047097051948196,"endHours":28.5635036128105,"quality":"inauspicious"},{"name":"Śubha","start":"04:34","end":"06:05","startHours":28.5635036128105,"endHours":30.0799101736728,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.0799101736728,"endHours":7.0799101736728,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.0799101736728,"endHours":8.0799101736728,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.0799101736728,"endHours":9.0799101736728,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.0799101736728,"endHours":10.0799101736728,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.0799101736728,"endHours":11.0799101736728,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.0799101736728,"endHours":12.0799101736728,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.0799101736728,"endHours":13.0799101736728,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.0799101736728,"endHours":14.0799101736728,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.0799101736728,"endHours":15.0799101736728,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.0799101736728,"endHours":16.0799101736728,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.0799101736728,"endHours":17.0799101736728,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.0799101736728,"endHours":18.0799101736728,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.0799101736728,"endHours":19.0799101736728,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.0799101736728,"endHours":20.0799101736728,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.0799101736728,"endHours":21.0799101736728,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.0799101736728,"endHours":22.0799101736728,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.0799101736728,"endHours":23.0799101736728,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.0799101736728,"endHours":24.0799101736728,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.0799101736728,"endHours":25.0799101736728,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.0799101736728,"endHours":26.0799101736728,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.0799101736728,"endHours":27.0799101736728,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.0799101736728,"endHours":28.0799101736728,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.0799101736728,"endHours":29.0799101736728,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.0799101736728,"endHours":30.0799101736728,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","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":-3.283521501983936,"eotMinutes":11.167764186584405,"ayanamsa":24.4921}},"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 Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 1, 2045 CE · Badarīnāth · Vidhyamitra","description":"October 1, 2045 CE for Badarīnāth: Kṛṣṇa Pañcamī, sūryodaya 06:05, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-10-01","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-10-01","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-10-01","x-default":"https://vidhyamitra.com/city/badrinath/2045-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-28T06:29:16.721Z","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":"2026-08-28T06:29:16.721Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-28T06:29:16.721Z","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"}}}