{"id":"vidhyamitra:city-day:badrinath:2045-10-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-10-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-28","date_display":"October 28, 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":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468281.770833,"kali_year":5147,"ahargana":1879816.2708,"sun":{"sidereal_longitude":189.7206,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":35.6088,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8882,"elapsed_within_tithi_degrees":1.8882},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.6088,"elapsed_within_degrees":8.9421},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.3294},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2045,"month":10,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468281.770833,"ahargana":1879816.2708,"kali_year":5147,"ayanamsa_lahiri":24.4931,"grahas":{"sun":{"sidereal_longitude":190.53154300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":36.37524300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":4.4632},"mars":{"sidereal_longitude":135.65714300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":213.94804299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":308.03824299999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":236.67754300000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":224.46364300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.2877,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.2877,"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":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468281.770833,"kali_year":5147,"ahargana":1879816.2708,"sun":{"sidereal_longitude":189.7206,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":35.6088,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8882,"elapsed_within_tithi_degrees":1.8882},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.6088,"elapsed_within_degrees":8.9421},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.3294},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.463,"elongation":154.112},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.463,"opposition_distance":25.888}},"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":"06:24","sunsetLocal":"17:28","solarNoonLocal":"11:56","dayLengthHours":11.065059372467402,"dayLengthDisplay":"11 Hours 03 Mins 54 Secs","nightLengthDisplay":"12 Hours 56 Mins 06 Secs","moonriseLocal":"18:45","moonsetLocal":"08:33","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:33","startHours":9.160755227891627,"endHours":10.543887649450053,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:19","end":"14:42","startHours":13.310152492566903,"endHours":14.693284914125329,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:24","end":"07:47","startHours":6.394490384774777,"endHours":7.777622806333202,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:21","startHours":8.976337571683837,"endHours":9.345172884099417,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:09","startHours":6.855534525294252,"endHours":7.150602775226716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:18","startHours":11.558184758592898,"endHours":12.295855383424058,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:39","startHours":4.919149135112456,"endHours":5.656819759943616,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:24","startHours":5.472402103735827,"endHours":6.394490384774777,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:31","startHours":13.77119663308638,"endHours":14.50886725791754,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.25954975724218,"endHours":17.65954975724218,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:55","startHours":17.45954975724218,"endHours":17.920593897761655,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.20954975724218,"endHours":18.95954975724218,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:18","startHours":23.558184758592898,"endHours":24.29585538342406,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:24","end":"07:47","startHours":6.394490384774777,"endHours":7.777622806333202,"quality":"inauspicious"},{"name":"Śubha","start":"07:47","end":"09:10","startHours":7.777622806333202,"endHours":9.160755227891627,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:33","startHours":9.160755227891627,"endHours":10.543887649450053,"quality":"inauspicious"},{"name":"Udveg","start":"10:33","end":"11:56","startHours":10.543887649450053,"endHours":11.927020071008478,"quality":"inauspicious"},{"name":"Chala","start":"11:56","end":"13:19","startHours":11.927020071008478,"endHours":13.310152492566903,"quality":"neutral"},{"name":"Labha","start":"13:19","end":"14:42","startHours":13.310152492566903,"endHours":14.693284914125329,"quality":"auspicious"},{"name":"Amṛta","start":"14:42","end":"16:05","startHours":14.693284914125329,"endHours":16.076417335683754,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:28","startHours":16.076417335683754,"endHours":17.45954975724218,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:28","end":"19:05","startHours":17.45954975724218,"endHours":19.076417335683754,"quality":"auspicious"},{"name":"Amṛta","start":"19:05","end":"20:42","startHours":19.076417335683754,"endHours":20.69328491412533,"quality":"auspicious"},{"name":"Kāla","start":"20:42","end":"22:19","startHours":20.69328491412533,"endHours":22.310152492566903,"quality":"inauspicious"},{"name":"Śubha","start":"22:19","end":"23:56","startHours":22.310152492566903,"endHours":23.927020071008478,"quality":"auspicious"},{"name":"Roga","start":"23:56","end":"01:33","startHours":23.927020071008478,"endHours":25.543887649450053,"quality":"inauspicious"},{"name":"Udveg","start":"01:33","end":"03:10","startHours":25.543887649450053,"endHours":27.160755227891627,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:47","startHours":27.160755227891627,"endHours":28.777622806333202,"quality":"neutral"},{"name":"Labha","start":"04:47","end":"06:24","startHours":28.777622806333202,"endHours":30.394490384774777,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.394490384774777,"endHours":7.394490384774777,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.394490384774777,"endHours":8.394490384774777,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.394490384774777,"endHours":9.394490384774777,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.394490384774777,"endHours":10.394490384774777,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.394490384774777,"endHours":11.394490384774777,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.394490384774777,"endHours":12.394490384774777,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.394490384774777,"endHours":13.394490384774777,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.394490384774777,"endHours":14.394490384774777,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.394490384774777,"endHours":15.394490384774777,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.394490384774777,"endHours":16.394490384774777,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.394490384774777,"endHours":17.394490384774777,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.394490384774777,"endHours":18.394490384774777,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.394490384774777,"endHours":19.394490384774777,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.394490384774777,"endHours":20.394490384774777,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.394490384774777,"endHours":21.394490384774777,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.394490384774777,"endHours":22.394490384774777,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.394490384774777,"endHours":23.394490384774777,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.394490384774777,"endHours":24.394490384774777,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.394490384774777,"endHours":25.394490384774777,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.394490384774777,"endHours":26.394490384774777,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.394490384774777,"endHours":27.394490384774777,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.394490384774777,"endHours":28.394490384774777,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.394490384774777,"endHours":29.394490384774777,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.394490384774777,"endHours":30.394490384774777,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":-13.195245205112153,"eotMinutes":16.40359573949132,"ayanamsa":24.4931}},"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 Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":[]},"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 28, 2045 CE · Badarīnāth · Vidhyamitra","description":"October 28, 2045 CE for Badarīnāth: Kṛṣṇa Tṛtīyā, sūryodaya 06:24, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-10-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-10-28","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-10-28","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-10-28","x-default":"https://vidhyamitra.com/city/badrinath/2045-10-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T18:35:24.040Z","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":"2026-09-22T18:35:24.040Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T18:35:24.040Z","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"}}}