{"id":"vidhyamitra:city-day:mathura:-0461-03-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0461-03-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-03-05","date_display":"March 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552740.770833,"kali_year":2640,"ahargana":964275.2708,"sun":{"sidereal_longitude":354.6158,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":155.1874,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.5716,"elapsed_within_tithi_degrees":4.5716},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.1874,"elapsed_within_degrees":8.5208},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.8032},"karana":{"half_tithi_index":26,"name":"Gara"},"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":-461,"month":3,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552740.770833,"ahargana":964275.2708,"kali_year":2640,"ayanamsa_lahiri":-10.5229,"grahas":{"sun":{"sidereal_longitude":354.6158,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":155.1874,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-3.5863},"mars":{"sidereal_longitude":246.826,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":352.68,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":219.6573,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":31.6008,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":215.2166,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":208.0557,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.0557,"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":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552740.770833,"kali_year":2640,"ahargana":964275.2708,"sun":{"sidereal_longitude":354.6158,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":155.1874,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.5716,"elapsed_within_tithi_degrees":4.5716},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.1874,"elapsed_within_degrees":8.5208},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.8032},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.586,"elongation":160.572},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.586,"opposition_distance":19.428}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":1.169,"elongation":0.899}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:41","sunsetLocal":"18:22","solarNoonLocal":"12:32","dayLengthHours":11.689894461639739,"dayLengthDisplay":"11 Hours 41 Mins 24 Secs","nightLengthDisplay":"12 Hours 18 Mins 36 Secs","moonriseLocal":"16:43","moonsetLocal":"05:45","rahuKala":{"name":"Rāhu Kāla","start":"15:27","end":"16:55","startHours":15.448054888075884,"endHours":16.90929169578085,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:36","end":"11:04","startHours":9.603107657256015,"endHours":11.064344464960982,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:32","end":"13:59","startHours":12.52558127266595,"endHours":13.986818080370917,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:48","startHours":9.408276082895352,"endHours":9.797939231616676,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:29","startHours":7.167712977747735,"endHours":7.4794434967247945,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:55","startHours":12.135918123944625,"endHours":12.915244421387273,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:07","end":"05:54","startHours":5.12198144696078,"endHours":5.90130774440343,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:42","end":"06:41","startHours":5.706476170042768,"endHours":6.680634041846079,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:15","startHours":14.473897016272572,"endHours":15.253223313715221,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.17052850348582,"endHours":18.570528503485818,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:51","startHours":18.37052850348582,"endHours":18.857607439387476,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.12052850348582,"endHours":19.87052850348582,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:55","startHours":24.135918123944624,"endHours":24.915244421387275,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:41","end":"08:09","startHours":6.680634041846079,"endHours":8.141870849551047,"quality":"inauspicious"},{"name":"Udveg","start":"08:09","end":"09:36","startHours":8.141870849551047,"endHours":9.603107657256015,"quality":"inauspicious"},{"name":"Chala","start":"09:36","end":"11:04","startHours":9.603107657256015,"endHours":11.064344464960982,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:32","startHours":11.064344464960982,"endHours":12.52558127266595,"quality":"auspicious"},{"name":"Amṛta","start":"12:32","end":"13:59","startHours":12.52558127266595,"endHours":13.986818080370917,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:27","startHours":13.986818080370917,"endHours":15.448054888075884,"quality":"inauspicious"},{"name":"Śubha","start":"15:27","end":"16:55","startHours":15.448054888075884,"endHours":16.90929169578085,"quality":"auspicious"},{"name":"Roga","start":"16:55","end":"18:22","startHours":16.90929169578085,"endHours":18.37052850348582,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:22","end":"19:55","startHours":18.37052850348582,"endHours":19.90929169578085,"quality":"inauspicious"},{"name":"Śubha","start":"19:55","end":"21:27","startHours":19.90929169578085,"endHours":21.448054888075884,"quality":"auspicious"},{"name":"Roga","start":"21:27","end":"22:59","startHours":21.448054888075884,"endHours":22.986818080370917,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:32","startHours":22.986818080370917,"endHours":24.52558127266595,"quality":"inauspicious"},{"name":"Chala","start":"00:32","end":"02:04","startHours":24.52558127266595,"endHours":26.064344464960982,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:36","startHours":26.064344464960982,"endHours":27.603107657256015,"quality":"auspicious"},{"name":"Amṛta","start":"03:36","end":"05:09","startHours":27.603107657256015,"endHours":29.141870849551047,"quality":"auspicious"},{"name":"Kāla","start":"05:09","end":"06:41","startHours":29.141870849551047,"endHours":30.68063404184608,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.680634041846079,"endHours":7.680634041846079,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.680634041846079,"endHours":8.68063404184608,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.68063404184608,"endHours":9.68063404184608,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.68063404184608,"endHours":10.68063404184608,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.68063404184608,"endHours":11.68063404184608,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.68063404184608,"endHours":12.68063404184608,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.68063404184608,"endHours":13.68063404184608,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.68063404184608,"endHours":14.68063404184608,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.68063404184608,"endHours":15.68063404184608,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.68063404184608,"endHours":16.68063404184608,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.68063404184608,"endHours":17.68063404184608,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.68063404184608,"endHours":18.68063404184608,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.68063404184608,"endHours":19.68063404184608,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.68063404184608,"endHours":20.68063404184608,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.68063404184608,"endHours":21.68063404184608,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.68063404184608,"endHours":22.68063404184608,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.68063404184608,"endHours":23.68063404184608,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.68063404184608,"endHours":24.68063404184608,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.68063404184608,"endHours":25.68063404184608,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.68063404184608,"endHours":26.68063404184608,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.68063404184608,"endHours":27.68063404184608,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.68063404184608,"endHours":28.68063404184608,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.68063404184608,"endHours":29.68063404184608,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.68063404184608,"endHours":30.68063404184608,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.258242313351295,"eotMinutes":-12.229676359956938,"ayanamsa":-10.5229}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Caturdaśī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"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":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 5, 462 BCE · Mathurā · Vidhyamitra","description":"March 5, 462 BCE for Mathurā: Śukla Caturdaśī, sūryodaya 06:41, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0461-03-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0461-03-05","sa":"https://sa.vidhyamitra.com/city/mathura/-0461-03-05","hi":"https://hi.vidhyamitra.com/city/mathura/-0461-03-05","x-default":"https://vidhyamitra.com/city/mathura/-0461-03-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-14T00:47:58.702Z","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":"2026-08-14T00:47:58.702Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-14T00:47:58.702Z","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"}}}