{"id":"vidhyamitra:city-day:haridwar:-3173-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3173-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-05-31","date_display":"May 31, 3174 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":-3173,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562269.770833,"kali_year":-71,"ahargana":-26195.7292,"sun":{"sidereal_longitude":100.4757,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":72.0911,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.6154,"elapsed_within_tithi_degrees":7.6154},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.0911,"elapsed_within_degrees":5.4244},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.5667},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3173,"month":5,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562269.770833,"ahargana":-26195.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4047,"grahas":{"sun":{"sidereal_longitude":100.4757,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":72.0911,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-3.7244},"mars":{"sidereal_longitude":356.1268,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":98.4197,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":355.2441,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":121.2382,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":203.821,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":127.9758,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":307.9758,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":-3173,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562269.770833,"kali_year":-71,"ahargana":-26195.7292,"sun":{"sidereal_longitude":100.4757,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":72.0911,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.6154,"elapsed_within_tithi_degrees":7.6154},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.0911,"elapsed_within_degrees":5.4244},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.5667},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.724,"elongation":28.385},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.724,"opposition_distance":151.615}},"eclipse_window_40days":[]},"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":"05:27","sunsetLocal":"19:03","solarNoonLocal":"12:15","dayLengthHours":13.600765928292137,"dayLengthDisplay":"13 Hours 36 Mins 03 Secs","nightLengthDisplay":"10 Hours 23 Mins 57 Secs","moonriseLocal":"03:57","moonsetLocal":"16:45","rahuKala":{"name":"Rāhu Kāla","start":"12:15","end":"13:57","startHours":12.247393887364339,"endHours":13.947489628400856,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:51","startHours":7.147106664254787,"endHours":8.847202405291304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"12:15","startHours":10.547298146327822,"endHours":12.247393887364339,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.6205229731531,"endHours":9.073881837429507,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.013709503563775,"endHours":6.376396594984898,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:42","startHours":11.794035023087933,"endHours":12.700752751640742,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:32","startHours":3.633575466112651,"endHours":4.540293194665461,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:27","startHours":4.3136137625272575,"endHours":5.4470109232182695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.514188208746361,"endHours":15.420905937299171,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.847776851510407,"endHours":19.247776851510405,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.047776851510406,"endHours":19.61447543185591,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.797776851510406,"endHours":20.547776851510406,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:42","startHours":23.794035023087936,"endHours":24.700752751640742,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:27","end":"07:09","startHours":5.4470109232182695,"endHours":7.147106664254787,"quality":"auspicious"},{"name":"Amṛta","start":"07:09","end":"08:51","startHours":7.147106664254787,"endHours":8.847202405291304,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:33","startHours":8.847202405291304,"endHours":10.547298146327822,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"12:15","startHours":10.547298146327822,"endHours":12.247393887364339,"quality":"auspicious"},{"name":"Roga","start":"12:15","end":"13:57","startHours":12.247393887364339,"endHours":13.947489628400856,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:39","startHours":13.947489628400856,"endHours":15.647585369437373,"quality":"inauspicious"},{"name":"Chala","start":"15:39","end":"17:21","startHours":15.647585369437373,"endHours":17.34768111047389,"quality":"neutral"},{"name":"Labha","start":"17:21","end":"19:03","startHours":17.34768111047389,"endHours":19.047776851510406,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:03","end":"20:21","startHours":19.047776851510406,"endHours":20.34768111047389,"quality":"inauspicious"},{"name":"Chala","start":"20:21","end":"21:39","startHours":20.34768111047389,"endHours":21.647585369437373,"quality":"neutral"},{"name":"Labha","start":"21:39","end":"22:57","startHours":21.647585369437373,"endHours":22.947489628400856,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:15","startHours":22.947489628400856,"endHours":24.24739388736434,"quality":"auspicious"},{"name":"Kāla","start":"00:15","end":"01:33","startHours":24.24739388736434,"endHours":25.54729814632782,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"02:51","startHours":25.54729814632782,"endHours":26.847202405291302,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:09","startHours":26.847202405291302,"endHours":28.147106664254785,"quality":"inauspicious"},{"name":"Udveg","start":"04:09","end":"05:27","startHours":28.147106664254785,"endHours":29.44701092321827,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.4470109232182695,"endHours":6.4470109232182695,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.4470109232182695,"endHours":7.4470109232182695,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.4470109232182695,"endHours":8.447010923218269,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.447010923218269,"endHours":9.447010923218269,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.447010923218269,"endHours":10.447010923218269,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.447010923218269,"endHours":11.447010923218269,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.447010923218269,"endHours":12.447010923218269,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.447010923218269,"endHours":13.447010923218269,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.447010923218269,"endHours":14.447010923218269,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.447010923218269,"endHours":15.447010923218269,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.447010923218269,"endHours":16.44701092321827,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.44701092321827,"endHours":17.44701092321827,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.44701092321827,"endHours":18.44701092321827,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.44701092321827,"endHours":19.44701092321827,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.44701092321827,"endHours":20.44701092321827,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.44701092321827,"endHours":21.44701092321827,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.44701092321827,"endHours":22.44701092321827,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.44701092321827,"endHours":23.44701092321827,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.44701092321827,"endHours":24.44701092321827,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.44701092321827,"endHours":25.44701092321827,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.44701092321827,"endHours":26.44701092321827,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.44701092321827,"endHours":27.44701092321827,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.44701092321827,"endHours":28.44701092321827,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.44701092321827,"endHours":29.44701092321827,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.283598046152694,"eotMinutes":2.4995667581397525,"ayanamsa":-48.4047}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Budhavāra (Wednesday) — 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 May 31, 3174 BCE · Haridwār · Vidhyamitra","description":"May 31, 3174 BCE for Haridwār: Kṛṣṇa Trayodaśī, sūryodaya 05:27, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3173-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3173-05-31","sa":"https://sa.vidhyamitra.com/city/haridwar/-3173-05-31","hi":"https://hi.vidhyamitra.com/city/haridwar/-3173-05-31","x-default":"https://vidhyamitra.com/city/haridwar/-3173-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T13:35:20.277Z","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":"2026-09-08T13:35:20.277Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T13:35:20.277Z","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"}}}