{"id":"vidhyamitra:city-day:badrinath:-0461-06-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0461-06-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-06-04","date_display":"June 4, 462 BCE","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":-461,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552831.770833,"kali_year":2641,"ahargana":964366.2708,"sun":{"sidereal_longitude":81.7599,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":265.5725,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":183.8127,"elapsed_within_tithi_degrees":3.8127},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.5725,"elapsed_within_degrees":12.2392},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.3324},"karana":{"half_tithi_index":30,"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":-461,"month":6,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552831.770833,"ahargana":964366.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5194,"grahas":{"sun":{"sidereal_longitude":81.7599,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":265.5725,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":3.9848},"mars":{"sidereal_longitude":241.2965,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":100.4376,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":209.9385,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":38.0214,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":209.1888,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":203.2341,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":23.2341,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-461,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552831.770833,"kali_year":2641,"ahargana":964366.2708,"sun":{"sidereal_longitude":81.7599,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":265.5725,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":183.8127,"elapsed_within_tithi_degrees":3.8127},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.5725,"elapsed_within_degrees":12.2392},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.3324},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.985,"elongation":176.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.985,"opposition_distance":3.813}},"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":"05:10","sunsetLocal":"19:10","solarNoonLocal":"12:10","dayLengthHours":14.00980178075043,"dayLengthDisplay":"14 Hours 00 Mins 35 Secs","nightLengthDisplay":"9 Hours 59 Mins 25 Secs","moonriseLocal":"19:20","moonsetLocal":"05:31","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:25","startHours":15.671438557641252,"endHours":17.422663780235055,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:40","end":"10:25","startHours":8.666537667266038,"endHours":10.41776288985984,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:10","end":"13:55","startHours":12.168988112453643,"endHours":13.920213335047446,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:54","startHours":8.433040970920196,"endHours":8.900034363611878,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.747828962943031,"endHours":6.121423677096376,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:38","startHours":11.701994719761963,"endHours":12.635981505145324,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:18","end":"04:14","startHours":3.296113651311706,"endHours":4.230100436695068,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:00","end":"05:10","startHours":3.996603740349227,"endHours":5.16408722207843,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:26","startHours":14.50395507591205,"endHours":15.437941861295412,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.97388900282886,"endHours":19.373889002828857,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:45","startHours":19.173889002828858,"endHours":19.757630743693458,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.923889002828858,"endHours":20.673889002828858,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:38","startHours":23.701994719761963,"endHours":24.635981505145324,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:10","end":"06:55","startHours":5.16408722207843,"endHours":6.915312444672233,"quality":"inauspicious"},{"name":"Udveg","start":"06:55","end":"08:40","startHours":6.915312444672233,"endHours":8.666537667266038,"quality":"inauspicious"},{"name":"Chala","start":"08:40","end":"10:25","startHours":8.666537667266038,"endHours":10.41776288985984,"quality":"neutral"},{"name":"Labha","start":"10:25","end":"12:10","startHours":10.41776288985984,"endHours":12.168988112453643,"quality":"auspicious"},{"name":"Amṛta","start":"12:10","end":"13:55","startHours":12.168988112453643,"endHours":13.920213335047446,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:40","startHours":13.920213335047446,"endHours":15.671438557641252,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:25","startHours":15.671438557641252,"endHours":17.422663780235055,"quality":"auspicious"},{"name":"Roga","start":"17:25","end":"19:10","startHours":17.422663780235055,"endHours":19.173889002828858,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:10","end":"20:25","startHours":19.173889002828858,"endHours":20.422663780235055,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"21:40","startHours":20.422663780235055,"endHours":21.671438557641252,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"22:55","startHours":21.671438557641252,"endHours":22.920213335047446,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:10","startHours":22.920213335047446,"endHours":24.168988112453643,"quality":"inauspicious"},{"name":"Chala","start":"00:10","end":"01:25","startHours":24.168988112453643,"endHours":25.41776288985984,"quality":"neutral"},{"name":"Labha","start":"01:25","end":"02:40","startHours":25.41776288985984,"endHours":26.666537667266034,"quality":"auspicious"},{"name":"Amṛta","start":"02:40","end":"03:55","startHours":26.666537667266034,"endHours":27.91531244467223,"quality":"auspicious"},{"name":"Kāla","start":"03:55","end":"05:10","startHours":27.91531244467223,"endHours":29.16408722207843,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:10","end":"06:10","startHours":5.16408722207843,"endHours":6.16408722207843,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:10","end":"07:10","startHours":6.16408722207843,"endHours":7.16408722207843,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:10","end":"08:10","startHours":7.16408722207843,"endHours":8.164087222078429,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:10","end":"09:10","startHours":8.164087222078429,"endHours":9.164087222078429,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:10","end":"10:10","startHours":9.164087222078429,"endHours":10.164087222078429,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:10","end":"11:10","startHours":10.164087222078429,"endHours":11.164087222078429,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:10","end":"12:10","startHours":11.164087222078429,"endHours":12.164087222078429,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:10","end":"13:10","startHours":12.164087222078429,"endHours":13.164087222078429,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:10","end":"14:10","startHours":13.164087222078429,"endHours":14.164087222078429,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:10","end":"15:10","startHours":14.164087222078429,"endHours":15.164087222078429,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:10","end":"16:10","startHours":15.164087222078429,"endHours":16.16408722207843,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:10","end":"17:10","startHours":16.16408722207843,"endHours":17.16408722207843,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:10","end":"18:10","startHours":17.16408722207843,"endHours":18.16408722207843,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:10","end":"19:10","startHours":18.16408722207843,"endHours":19.16408722207843,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:10","end":"20:10","startHours":19.16408722207843,"endHours":20.16408722207843,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:10","end":"21:10","startHours":20.16408722207843,"endHours":21.16408722207843,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:10","end":"22:10","startHours":21.16408722207843,"endHours":22.16408722207843,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:10","end":"23:10","startHours":22.16408722207843,"endHours":23.16408722207843,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:10","end":"00:10","startHours":23.16408722207843,"endHours":24.16408722207843,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:10","end":"01:10","startHours":24.16408722207843,"endHours":25.16408722207843,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:10","end":"02:10","startHours":25.16408722207843,"endHours":26.16408722207843,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:10","end":"03:10","startHours":26.16408722207843,"endHours":27.16408722207843,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:10","end":"04:10","startHours":27.16408722207843,"endHours":28.16408722207843,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:10","end":"05:10","startHours":28.16408722207843,"endHours":29.16408722207843,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.123462801139805,"eotMinutes":1.88551325278147,"ayanamsa":-10.5194}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Pratipada · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"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":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 June 4, 462 BCE · Badarīnāth · Vidhyamitra","description":"June 4, 462 BCE for Badarīnāth: Kṛṣṇa Pratipada, sūryodaya 05:10, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0461-06-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0461-06-04","sa":"https://sa.vidhyamitra.com/city/badrinath/-0461-06-04","hi":"https://hi.vidhyamitra.com/city/badrinath/-0461-06-04","x-default":"https://vidhyamitra.com/city/badrinath/-0461-06-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:01:32.991Z","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":"2026-08-10T11:01:32.991Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:01:32.991Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}