{"id":"vidhyamitra:city-day:haridwar:-3156-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3156-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-07-31","date_display":"July 31, 3157 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":-3156,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568540.770833,"kali_year":-54,"ahargana":-19924.7292,"sun":{"sidereal_longitude":159.7828,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":268.1491,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.3663,"elapsed_within_tithi_degrees":0.3663},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.1491,"elapsed_within_degrees":1.4825},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.932},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":-3156,"month":7,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568540.770833,"ahargana":-19924.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1649,"grahas":{"sun":{"sidereal_longitude":159.7828,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":268.1491,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.1586},"mars":{"sidereal_longitude":45.339,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":170.1507,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":148.0221,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":142.5223,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":59.2942,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":155.708,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":335.708,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":-3156,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568540.770833,"kali_year":-54,"ahargana":-19924.7292,"sun":{"sidereal_longitude":159.7828,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":268.1491,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.3663,"elapsed_within_tithi_degrees":0.3663},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.1491,"elapsed_within_degrees":1.4825},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.932},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.159,"elongation":108.366},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.159,"opposition_distance":71.634}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":-0.177,"elongation":1.916},{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":-0.979,"opposition_distance":2.296}]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:26","sunsetLocal":"19:21","solarNoonLocal":"12:23","dayLengthHours":13.90917958455945,"dayLengthDisplay":"13 Hours 54 Mins 33 Secs","nightLengthDisplay":"10 Hours 05 Mins 27 Secs","moonriseLocal":"14:09","moonsetLocal":"01:05","rahuKala":{"name":"Rāhu Kāla","start":"15:52","end":"17:36","startHours":15.867537804679042,"endHours":17.606185252748972,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:55","end":"10:39","startHours":8.912948012399319,"endHours":10.651595460469249,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:08","startHours":12.39024290853918,"endHours":14.128890356609112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:09","startHours":8.68112835265666,"endHours":9.144767672141976,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.015202265616099,"endHours":6.386113721204351,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.926603589053865,"endHours":12.853882228024496,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:31","startHours":3.5810958383181957,"endHours":4.508374477288825,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:26","startHours":4.2765548175461685,"endHours":5.435653116259456,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:38","startHours":14.708439505965757,"endHours":15.635718144936387,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.144832700818906,"endHours":19.544832700818905,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:55","startHours":19.344832700818905,"endHours":19.92438185017555,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.094832700818905,"endHours":20.844832700818905,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.926603589053865,"endHours":24.853882228024492,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:26","end":"07:10","startHours":5.435653116259456,"endHours":7.174300564329387,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:55","startHours":7.174300564329387,"endHours":8.912948012399319,"quality":"inauspicious"},{"name":"Chala","start":"08:55","end":"10:39","startHours":8.912948012399319,"endHours":10.651595460469249,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:23","startHours":10.651595460469249,"endHours":12.39024290853918,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:08","startHours":12.39024290853918,"endHours":14.128890356609112,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:52","startHours":14.128890356609112,"endHours":15.867537804679042,"quality":"inauspicious"},{"name":"Śubha","start":"15:52","end":"17:36","startHours":15.867537804679042,"endHours":17.606185252748972,"quality":"auspicious"},{"name":"Roga","start":"17:36","end":"19:21","startHours":17.606185252748972,"endHours":19.344832700818905,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:21","end":"20:36","startHours":19.344832700818905,"endHours":20.606185252748976,"quality":"inauspicious"},{"name":"Śubha","start":"20:36","end":"21:52","startHours":20.606185252748976,"endHours":21.867537804679042,"quality":"auspicious"},{"name":"Roga","start":"21:52","end":"23:08","startHours":21.867537804679042,"endHours":23.128890356609112,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:23","startHours":23.128890356609112,"endHours":24.39024290853918,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:39","startHours":24.39024290853918,"endHours":25.65159546046925,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"02:55","startHours":25.65159546046925,"endHours":26.91294801239932,"quality":"auspicious"},{"name":"Amṛta","start":"02:55","end":"04:10","startHours":26.91294801239932,"endHours":28.174300564329386,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:26","startHours":28.174300564329386,"endHours":29.435653116259456,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.435653116259456,"endHours":6.435653116259456,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.435653116259456,"endHours":7.435653116259456,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.435653116259456,"endHours":8.435653116259456,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.435653116259456,"endHours":9.435653116259456,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.435653116259456,"endHours":10.435653116259456,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.435653116259456,"endHours":11.435653116259456,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.435653116259456,"endHours":12.435653116259456,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.435653116259456,"endHours":13.435653116259456,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.435653116259456,"endHours":14.435653116259456,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.435653116259456,"endHours":15.435653116259456,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.435653116259456,"endHours":16.435653116259456,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.435653116259456,"endHours":17.435653116259456,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.435653116259456,"endHours":18.435653116259456,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.435653116259456,"endHours":19.435653116259456,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.435653116259456,"endHours":20.435653116259456,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.435653116259456,"endHours":21.435653116259456,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.435653116259456,"endHours":22.435653116259456,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.435653116259456,"endHours":23.435653116259456,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.435653116259456,"endHours":24.435653116259456,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.435653116259456,"endHours":25.435653116259456,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.435653116259456,"endHours":26.435653116259456,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.435653116259456,"endHours":27.435653116259456,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.435653116259456,"endHours":28.435653116259456,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.435653116259456,"endHours":29.435653116259456,"planetary_lord":"Saturn"}],"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","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.70060263938487,"eotMinutes":-6.071374512350812,"ayanamsa":-48.1649}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","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 Śukla Daśamī · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]}],"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":"Dedicated festival walk for Vijaya Daśamī (Dasarā / Daśaharā) is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"haridwar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 31, 3157 BCE · Haridwār · Vidhyamitra","description":"July 31, 3157 BCE for Haridwār: Śukla Daśamī, sūryodaya 05:26, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3156-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3156-07-31","sa":"https://sa.vidhyamitra.com/city/haridwar/-3156-07-31","hi":"https://hi.vidhyamitra.com/city/haridwar/-3156-07-31","x-default":"https://vidhyamitra.com/city/haridwar/-3156-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T01:29:29.125Z","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":"2026-09-08T01:29:29.125Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T01:29:29.125Z","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"}}}