{"id":"vidhyamitra:city-day:badrinath:-3221-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3221-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3221-10-13","date_display":"October 13, 3222 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":-3221,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544872.770833,"kali_year":-119,"ahargana":-43592.7292,"sun":{"sidereal_longitude":233.963,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":170.8415,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":296.8786,"elapsed_within_tithi_degrees":8.8786},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.8415,"elapsed_within_degrees":10.8415},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.8045},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3221,"month":10,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":544872.770833,"ahargana":-43592.7292,"kali_year":-119,"ayanamsa_lahiri":-49.0701,"grahas":{"sun":{"sidereal_longitude":233.963,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":170.8415,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-1.6177},"mars":{"sidereal_longitude":204.1522,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":217.0914,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":326.4319,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":280.254,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":326.9271,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":329.7526,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":149.7526,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-3221,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544872.770833,"kali_year":-119,"ahargana":-43592.7292,"sun":{"sidereal_longitude":233.963,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":170.8415,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":296.8786,"elapsed_within_tithi_degrees":8.8786},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.8415,"elapsed_within_degrees":10.8415},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.8045},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.618,"elongation":63.121},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.618,"opposition_distance":116.879}},"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":"05:58","sunsetLocal":"17:57","solarNoonLocal":"11:58","dayLengthHours":11.975065527651644,"dayLengthDisplay":"11 Hours 58 Mins 30 Secs","nightLengthDisplay":"12 Hours 01 Mins 30 Secs","moonriseLocal":"00:53","moonsetLocal":"14:37","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"08:58","startHours":7.469056606996044,"endHours":8.9659397979525,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:28","end":"11:58","startHours":10.462822988908954,"endHours":11.95970617986541,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:27","end":"14:57","startHours":13.456589370821867,"endHours":14.953472561778321,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:10","startHours":8.766355372491638,"endHours":9.16552422341336,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:47","startHours":6.47113447969174,"endHours":6.790469560429117,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:22","startHours":11.560537328943688,"endHours":12.358875030787132,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:10","startHours":4.375498012352702,"endHours":5.173835714196145,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:58","startHours":4.974251288735284,"endHours":5.972173416039588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:45","startHours":13.955550434474016,"endHours":14.753888136317459,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.747238943691233,"endHours":18.14723894369123,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:27","startHours":17.947238943691232,"endHours":18.446200007343386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.697238943691232,"endHours":19.447238943691232,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:22","startHours":23.56053732894369,"endHours":24.358875030787132,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:58","end":"07:28","startHours":5.972173416039588,"endHours":7.469056606996044,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"08:58","startHours":7.469056606996044,"endHours":8.9659397979525,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:28","startHours":8.9659397979525,"endHours":10.462822988908954,"quality":"auspicious"},{"name":"Roga","start":"10:28","end":"11:58","startHours":10.462822988908954,"endHours":11.95970617986541,"quality":"inauspicious"},{"name":"Udveg","start":"11:58","end":"13:27","startHours":11.95970617986541,"endHours":13.456589370821867,"quality":"inauspicious"},{"name":"Chala","start":"13:27","end":"14:57","startHours":13.456589370821867,"endHours":14.953472561778321,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:27","startHours":14.953472561778321,"endHours":16.450355752734776,"quality":"auspicious"},{"name":"Amṛta","start":"16:27","end":"17:57","startHours":16.450355752734776,"endHours":17.947238943691232,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:57","end":"19:27","startHours":17.947238943691232,"endHours":19.450355752734776,"quality":"neutral"},{"name":"Labha","start":"19:27","end":"20:57","startHours":19.450355752734776,"endHours":20.95347256177832,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:27","startHours":20.95347256177832,"endHours":22.456589370821867,"quality":"auspicious"},{"name":"Kāla","start":"22:27","end":"23:58","startHours":22.456589370821867,"endHours":23.95970617986541,"quality":"inauspicious"},{"name":"Śubha","start":"23:58","end":"01:28","startHours":23.95970617986541,"endHours":25.462822988908954,"quality":"auspicious"},{"name":"Roga","start":"01:28","end":"02:58","startHours":25.462822988908954,"endHours":26.9659397979525,"quality":"inauspicious"},{"name":"Udveg","start":"02:58","end":"04:28","startHours":26.9659397979525,"endHours":28.469056606996045,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"05:58","startHours":28.469056606996045,"endHours":29.97217341603959,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.972173416039588,"endHours":6.972173416039588,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.972173416039588,"endHours":7.972173416039588,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.972173416039588,"endHours":8.972173416039588,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.972173416039588,"endHours":9.972173416039588,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.972173416039588,"endHours":10.972173416039588,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.972173416039588,"endHours":11.972173416039588,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.972173416039588,"endHours":12.972173416039588,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.972173416039588,"endHours":13.972173416039588,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.972173416039588,"endHours":14.972173416039588,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.972173416039588,"endHours":15.972173416039588,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.972173416039588,"endHours":16.97217341603959,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.97217341603959,"endHours":17.97217341603959,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.97217341603959,"endHours":18.97217341603959,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.97217341603959,"endHours":19.97217341603959,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.97217341603959,"endHours":20.97217341603959,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.97217341603959,"endHours":21.97217341603959,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.97217341603959,"endHours":22.97217341603959,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.97217341603959,"endHours":23.97217341603959,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.97217341603959,"endHours":24.97217341603959,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.97217341603959,"endHours":25.97217341603959,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.97217341603959,"endHours":26.97217341603959,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.97217341603959,"endHours":27.97217341603959,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.97217341603959,"endHours":28.97217341603959,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.97217341603959,"endHours":29.97217341603959,"planetary_lord":"Venus"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-1.9440736884794665,"eotMinutes":14.442429208075392,"ayanamsa":-49.0701}},"calendars":{"vikram_samvat":-3164,"saka_samvat":-3299,"bengali_samvat":-3814,"malayalam_era":-4045,"nanakshahi_year":-4690,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Daśamī · Vikram -3164 undefined · Śaka -3299 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 October 13, 3222 BCE · Badarīnāth · Vidhyamitra","description":"October 13, 3222 BCE for Badarīnāth: Kṛṣṇa Daśamī, sūryodaya 05:58, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3221-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3221-10-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3221-10-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3221-10-13","x-default":"https://vidhyamitra.com/city/badrinath/-3221-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T03:29:25.673Z","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":"2026-08-13T03:29:25.673Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T03:29:25.673Z","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"}}}