{"id":"vidhyamitra:city-day:badrinath:-0528-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0528-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0528-04-13","date_display":"April 13, 529 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":-528,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528308.770833,"kali_year":2574,"ahargana":939843.2708,"sun":{"sidereal_longitude":33.6495,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":62.9668,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.3173,"elapsed_within_tithi_degrees":5.3173},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.9668,"elapsed_within_degrees":9.6335},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.6163},"karana":{"half_tithi_index":4,"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":-528,"month":4,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1528308.770833,"ahargana":939843.2708,"kali_year":2574,"ayanamsa_lahiri":-11.4573,"grahas":{"sun":{"sidereal_longitude":33.6495,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":62.9668,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false,"latitude":0.0303},"mars":{"sidereal_longitude":25.3617,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":6.9144,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":345.8067,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":346.2107,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":107.2539,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":62.5807,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.5807,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":-528,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528308.770833,"kali_year":2574,"ahargana":939843.2708,"sun":{"sidereal_longitude":33.6495,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":62.9668,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.3173,"elapsed_within_tithi_degrees":5.3173},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.9668,"elapsed_within_degrees":9.6335},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.6163},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.03,"elongation":29.317},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.03,"opposition_distance":150.683}},"eclipse_window_40days":[{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":1.112,"opposition_distance":2.517}]},"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":"05:48","sunsetLocal":"18:37","solarNoonLocal":"12:13","dayLengthHours":12.822740685734878,"dayLengthDisplay":"12 Hours 49 Mins 22 Secs","nightLengthDisplay":"11 Hours 10 Mins 38 Secs","moonriseLocal":"07:22","moonsetLocal":"20:58","rahuKala":{"name":"Rāhu Kāla","start":"17:01","end":"18:37","startHours":17.021771270978984,"endHours":18.624613856695845,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:49","startHours":12.213243513828406,"endHours":13.816086099545267,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:25","end":"17:01","startHours":15.418928685262127,"endHours":17.021771270978984,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:13","startHours":8.793845997632438,"endHours":9.221270687156935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.336154032866587,"endHours":6.678093784486184,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:38","startHours":11.78581882430391,"endHours":12.640668203352902,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:57","startHours":4.092174412862984,"endHours":4.947023791911976,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:48","startHours":4.7333114471497275,"endHours":5.801873170960968,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:12","startHours":14.350366961450884,"endHours":15.205216340499875,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.424613856695846,"endHours":18.824613856695844,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:10","startHours":18.624613856695845,"endHours":19.158894718601466,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.374613856695845,"endHours":20.124613856695845,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:38","startHours":23.78581882430391,"endHours":24.640668203352902,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:48","end":"07:24","startHours":5.801873170960968,"endHours":7.404715756677827,"quality":"inauspicious"},{"name":"Chala","start":"07:24","end":"09:00","startHours":7.404715756677827,"endHours":9.007558342394688,"quality":"neutral"},{"name":"Labha","start":"09:00","end":"10:37","startHours":9.007558342394688,"endHours":10.610400928111547,"quality":"auspicious"},{"name":"Amṛta","start":"10:37","end":"12:13","startHours":10.610400928111547,"endHours":12.213243513828406,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:49","startHours":12.213243513828406,"endHours":13.816086099545267,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:25","startHours":13.816086099545267,"endHours":15.418928685262127,"quality":"auspicious"},{"name":"Roga","start":"15:25","end":"17:01","startHours":15.418928685262127,"endHours":17.021771270978984,"quality":"inauspicious"},{"name":"Udveg","start":"17:01","end":"18:37","startHours":17.021771270978984,"endHours":18.624613856695845,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:37","end":"20:01","startHours":18.624613856695845,"endHours":20.021771270978984,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"21:25","startHours":20.021771270978984,"endHours":21.418928685262124,"quality":"inauspicious"},{"name":"Udveg","start":"21:25","end":"22:49","startHours":21.418928685262124,"endHours":22.816086099545267,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:13","startHours":22.816086099545267,"endHours":24.213243513828406,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:37","startHours":24.213243513828406,"endHours":25.610400928111545,"quality":"auspicious"},{"name":"Amṛta","start":"01:37","end":"03:00","startHours":25.610400928111545,"endHours":27.007558342394688,"quality":"auspicious"},{"name":"Kāla","start":"03:00","end":"04:24","startHours":27.007558342394688,"endHours":28.404715756677827,"quality":"inauspicious"},{"name":"Śubha","start":"04:24","end":"05:48","startHours":28.404715756677827,"endHours":29.801873170960967,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.801873170960968,"endHours":6.801873170960968,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.801873170960968,"endHours":7.801873170960968,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.801873170960968,"endHours":8.801873170960967,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.801873170960967,"endHours":9.801873170960967,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.801873170960967,"endHours":10.801873170960967,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.801873170960967,"endHours":11.801873170960967,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.801873170960967,"endHours":12.801873170960967,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.801873170960967,"endHours":13.801873170960967,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.801873170960967,"endHours":14.801873170960967,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.801873170960967,"endHours":15.801873170960967,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.801873170960967,"endHours":16.801873170960967,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.801873170960967,"endHours":17.801873170960967,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.801873170960967,"endHours":18.801873170960967,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.801873170960967,"endHours":19.801873170960967,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.801873170960967,"endHours":20.801873170960967,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.801873170960967,"endHours":21.801873170960967,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.801873170960967,"endHours":22.801873170960967,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.801873170960967,"endHours":23.801873170960967,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.801873170960967,"endHours":24.801873170960967,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.801873170960967,"endHours":25.801873170960967,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.801873170960967,"endHours":26.801873170960967,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.801873170960967,"endHours":27.801873170960967,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.801873170960967,"endHours":28.801873170960967,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.801873170960967,"endHours":29.801873170960967,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.640221600016803,"eotMinutes":-0.7698108297043191,"ayanamsa":-11.4573}},"calendars":{"vikram_samvat":-471,"saka_samvat":-606,"bengali_samvat":-1121,"malayalam_era":-1352,"nanakshahi_year":-1997,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Tṛtīyā · Vikram -471 undefined · Śaka -606 undefined"},"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":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 April 13, 529 BCE · Badarīnāth · Vidhyamitra","description":"April 13, 529 BCE for Badarīnāth: Śukla Tṛtīyā, sūryodaya 05:48, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0528-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0528-04-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-0528-04-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-0528-04-13","x-default":"https://vidhyamitra.com/city/badrinath/-0528-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:29:48.257Z","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":"2026-08-10T13:29:48.257Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:29:48.257Z","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"}}}