{"id":"vidhyamitra:city-day:haridwar:-0461-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-0461-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-03-13","date_display":"March 13, 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":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552748.770833,"kali_year":2641,"ahargana":964283.2708,"sun":{"sidereal_longitude":2.436,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":254.3998,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.9637,"elapsed_within_tithi_degrees":11.9637},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":254.3998,"elapsed_within_degrees":1.0664},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.8358},"karana":{"half_tithi_index":41,"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":-461,"month":3,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552748.770833,"ahargana":964283.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5226,"grahas":{"sun":{"sidereal_longitude":2.436,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":254.3998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":3.277},"mars":{"sidereal_longitude":249.3291,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":346.6201,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":219.1305,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":34.8648,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":214.7971,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.6319,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.6319,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":-461,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552748.770833,"kali_year":2641,"ahargana":964283.2708,"sun":{"sidereal_longitude":2.436,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":254.3998,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.9637,"elapsed_within_tithi_degrees":11.9637},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":254.3998,"elapsed_within_degrees":1.0664},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.8358},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.277,"elongation":108.036},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.277,"opposition_distance":71.964}},"eclipse_window_40days":[{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":1.169,"elongation":0.899}]},"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":"06:31","sunsetLocal":"18:24","solarNoonLocal":"12:28","dayLengthHours":11.881754049052008,"dayLengthDisplay":"11 Hours 52 Mins 54 Secs","nightLengthDisplay":"12 Hours 07 Mins 06 Secs","moonriseLocal":"00:03","moonsetLocal":"10:27","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:57","startHours":12.459351998813482,"endHours":13.944571254944982,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:00","end":"09:29","startHours":8.003694230418978,"endHours":9.488913486550478,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:58","end":"12:28","startHours":10.97413274268198,"endHours":12.459351998813482,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:41","startHours":9.290884252399612,"endHours":9.686942720701346,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:20","startHours":7.013548059664644,"endHours":7.330394834306031,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:51","startHours":12.063293530511746,"endHours":12.855410467115213,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:44","startHours":4.934241101080542,"endHours":5.72635803768401,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:31","startHours":5.528328803533142,"endHours":6.518474974287477,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.439644340322149,"endHours":15.231761276925615,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.200229023339485,"endHours":18.600229023339484,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:54","startHours":18.400229023339485,"endHours":18.895302108716653,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.150229023339485,"endHours":19.900229023339485,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:51","startHours":24.063293530511746,"endHours":24.855410467115217,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:31","end":"08:00","startHours":6.518474974287477,"endHours":8.003694230418978,"quality":"auspicious"},{"name":"Amṛta","start":"08:00","end":"09:29","startHours":8.003694230418978,"endHours":9.488913486550478,"quality":"auspicious"},{"name":"Kāla","start":"09:29","end":"10:58","startHours":9.488913486550478,"endHours":10.97413274268198,"quality":"inauspicious"},{"name":"Śubha","start":"10:58","end":"12:28","startHours":10.97413274268198,"endHours":12.459351998813482,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:57","startHours":12.459351998813482,"endHours":13.944571254944982,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:26","startHours":13.944571254944982,"endHours":15.429790511076483,"quality":"inauspicious"},{"name":"Chala","start":"15:26","end":"16:55","startHours":15.429790511076483,"endHours":16.915009767207984,"quality":"neutral"},{"name":"Labha","start":"16:55","end":"18:24","startHours":16.915009767207984,"endHours":18.400229023339485,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:24","end":"19:55","startHours":18.400229023339485,"endHours":19.915009767207984,"quality":"inauspicious"},{"name":"Chala","start":"19:55","end":"21:26","startHours":19.915009767207984,"endHours":21.429790511076483,"quality":"neutral"},{"name":"Labha","start":"21:26","end":"22:57","startHours":21.429790511076483,"endHours":22.944571254944982,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:28","startHours":22.944571254944982,"endHours":24.45935199881348,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:58","startHours":24.45935199881348,"endHours":25.97413274268198,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"03:29","startHours":25.97413274268198,"endHours":27.48891348655048,"quality":"auspicious"},{"name":"Roga","start":"03:29","end":"05:00","startHours":27.48891348655048,"endHours":29.00369423041898,"quality":"inauspicious"},{"name":"Udveg","start":"05:00","end":"06:31","startHours":29.00369423041898,"endHours":30.51847497428748,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.518474974287477,"endHours":7.518474974287477,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.518474974287477,"endHours":8.518474974287477,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.518474974287477,"endHours":9.518474974287477,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.518474974287477,"endHours":10.518474974287477,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.518474974287477,"endHours":11.518474974287477,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.518474974287477,"endHours":12.518474974287477,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.518474974287477,"endHours":13.518474974287477,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.518474974287477,"endHours":14.518474974287477,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.518474974287477,"endHours":15.518474974287477,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.518474974287477,"endHours":16.51847497428748,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51847497428748,"endHours":17.51847497428748,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51847497428748,"endHours":18.51847497428748,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51847497428748,"endHours":19.51847497428748,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51847497428748,"endHours":20.51847497428748,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51847497428748,"endHours":21.51847497428748,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51847497428748,"endHours":22.51847497428748,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51847497428748,"endHours":23.51847497428748,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51847497428748,"endHours":24.51847497428748,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51847497428748,"endHours":25.51847497428748,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51847497428748,"endHours":26.51847497428748,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51847497428748,"endHours":27.51847497428748,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51847497428748,"endHours":28.51847497428748,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51847497428748,"endHours":29.51847497428748,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51847497428748,"endHours":30.51847497428748,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.207310672422241,"eotMinutes":-10.217919928808794,"ayanamsa":-10.5226}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ṣaṣṭhī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"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":"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 March 13, 462 BCE · Haridwār · Vidhyamitra","description":"March 13, 462 BCE for Haridwār: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:31, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-0461-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-0461-03-13","sa":"https://sa.vidhyamitra.com/city/haridwar/-0461-03-13","hi":"https://hi.vidhyamitra.com/city/haridwar/-0461-03-13","x-default":"https://vidhyamitra.com/city/haridwar/-0461-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T23:41:25.054Z","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":"2026-08-11T23:41:25.054Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T23:41:25.054Z","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"}}}