{"id":"vidhyamitra:city-day:mathura:-3225-04-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3225-04-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3225-04-08","date_display":"April 8, 3226 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":-3225,"month":4,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543223.770833,"kali_year":-123,"ahargana":-45241.7292,"sun":{"sidereal_longitude":50.6824,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":43.4373,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7549,"elapsed_within_tithi_degrees":4.7549},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.4373,"elapsed_within_degrees":3.4373},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.1196},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3225,"month":4,"day":8,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543223.770833,"ahargana":-45241.7292,"kali_year":-123,"ayanamsa_lahiri":-49.1331,"grahas":{"sun":{"sidereal_longitude":50.6824,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":43.4373,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-1.0638},"mars":{"sidereal_longitude":58.4434,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":36.4743,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":189.5472,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":36.7293,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":285.1288,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":57.1245,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":237.1245,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":-3225,"month":4,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543223.770833,"kali_year":-123,"ahargana":-45241.7292,"sun":{"sidereal_longitude":50.6824,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":43.4373,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7549,"elapsed_within_tithi_degrees":4.7549},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.4373,"elapsed_within_degrees":3.4373},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.1196},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.064,"elongation":7.245},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.064,"opposition_distance":172.755}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-0.846,"opposition_distance":1.261}]},"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":"06:16","sunsetLocal":"18:27","solarNoonLocal":"12:21","dayLengthHours":12.16797595345664,"dayLengthDisplay":"12 Hours 10 Mins 05 Secs","nightLengthDisplay":"11 Hours 49 Mins 55 Secs","moonriseLocal":"05:55","moonsetLocal":"17:50","rahuKala":{"name":"Rāhu Kāla","start":"13:53","end":"15:24","startHours":13.879251170459913,"endHours":15.400248164641992,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:16","end":"07:48","startHours":6.274266199549512,"endHours":7.795263193731592,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:19","end":"10:50","startHours":9.316260187913672,"endHours":10.837257182095751,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:31","startHours":9.113460588689396,"endHours":9.51905978713795,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.781265197610205,"endHours":7.105744556369049,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:46","startHours":11.952654977829278,"endHours":12.763853374726386,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:28","startHours":4.651869405755293,"endHours":5.463067802652403,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:16","startHours":5.260268203428125,"endHours":6.274266199549512,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.386250168520606,"endHours":15.197448565417716,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.242242153006153,"endHours":18.64224215300615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.442242153006152,"endHours":18.949241151066847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.192242153006152,"endHours":19.942242153006152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:46","startHours":23.952654977829276,"endHours":24.763853374726388,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:16","end":"07:48","startHours":6.274266199549512,"endHours":7.795263193731592,"quality":"auspicious"},{"name":"Roga","start":"07:48","end":"09:19","startHours":7.795263193731592,"endHours":9.316260187913672,"quality":"inauspicious"},{"name":"Udveg","start":"09:19","end":"10:50","startHours":9.316260187913672,"endHours":10.837257182095751,"quality":"inauspicious"},{"name":"Chala","start":"10:50","end":"12:21","startHours":10.837257182095751,"endHours":12.358254176277832,"quality":"neutral"},{"name":"Labha","start":"12:21","end":"13:53","startHours":12.358254176277832,"endHours":13.879251170459913,"quality":"auspicious"},{"name":"Amṛta","start":"13:53","end":"15:24","startHours":13.879251170459913,"endHours":15.400248164641992,"quality":"auspicious"},{"name":"Kāla","start":"15:24","end":"16:55","startHours":15.400248164641992,"endHours":16.92124515882407,"quality":"inauspicious"},{"name":"Śubha","start":"16:55","end":"18:27","startHours":16.92124515882407,"endHours":18.442242153006152,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:27","end":"19:55","startHours":18.442242153006152,"endHours":19.92124515882407,"quality":"auspicious"},{"name":"Kāla","start":"19:55","end":"21:24","startHours":19.92124515882407,"endHours":21.400248164641994,"quality":"inauspicious"},{"name":"Śubha","start":"21:24","end":"22:53","startHours":21.400248164641994,"endHours":22.879251170459913,"quality":"auspicious"},{"name":"Roga","start":"22:53","end":"00:21","startHours":22.879251170459913,"endHours":24.358254176277832,"quality":"inauspicious"},{"name":"Udveg","start":"00:21","end":"01:50","startHours":24.358254176277832,"endHours":25.83725718209575,"quality":"inauspicious"},{"name":"Chala","start":"01:50","end":"03:19","startHours":25.83725718209575,"endHours":27.31626018791367,"quality":"neutral"},{"name":"Labha","start":"03:19","end":"04:48","startHours":27.31626018791367,"endHours":28.795263193731593,"quality":"auspicious"},{"name":"Amṛta","start":"04:48","end":"06:16","startHours":28.795263193731593,"endHours":30.274266199549512,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.274266199549512,"endHours":7.274266199549512,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.274266199549512,"endHours":8.274266199549512,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.274266199549512,"endHours":9.274266199549512,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.274266199549512,"endHours":10.274266199549512,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.274266199549512,"endHours":11.274266199549512,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.274266199549512,"endHours":12.274266199549512,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.274266199549512,"endHours":13.274266199549512,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.274266199549512,"endHours":14.274266199549512,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.274266199549512,"endHours":15.274266199549512,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.274266199549512,"endHours":16.274266199549512,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.274266199549512,"endHours":17.274266199549512,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.274266199549512,"endHours":18.274266199549512,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.274266199549512,"endHours":19.274266199549512,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.274266199549512,"endHours":20.274266199549512,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.274266199549512,"endHours":21.274266199549512,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.274266199549512,"endHours":22.274266199549512,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.274266199549512,"endHours":23.274266199549512,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.274266199549512,"endHours":24.274266199549512,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.274266199549512,"endHours":25.274266199549512,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.274266199549512,"endHours":26.274266199549512,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.274266199549512,"endHours":27.274266199549512,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.274266199549512,"endHours":28.274266199549512,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.274266199549512,"endHours":29.274266199549512,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.274266199549512,"endHours":30.274266199549512,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.6161436869142788,"eotMinutes":-2.1900505766699547,"ayanamsa":-49.1331}},"calendars":{"vikram_samvat":-3168,"saka_samvat":-3303,"bengali_samvat":-3818,"malayalam_era":-4049,"nanakshahi_year":-4694,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Amāvasyā · Vikram -3168 undefined · Śaka -3303 undefined"},"festivals":[{"id":"vat-savitri-amavasya","name":"Vaṭa Sāvitrī Amāvasyā","name_sanskrit":"वट सावित्री अमावस्या","tradition":"Pan-Hindu","associated_deity":"Sāvitrī Devī","significance":"Sāvitrī's redemption of Satyavān from Yama; pati-vrata observance.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":2,"sources":["Mahābhārata, Vana Parva — Sāvitrī Upākhyāna"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Vaṭa Sāvitrī Amāvasyā is not live yet; Guruvāra (Thursday) — 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 April 8, 3226 BCE · Mathurā · Vidhyamitra","description":"April 8, 3226 BCE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 06:16, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3225-04-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3225-04-08","sa":"https://sa.vidhyamitra.com/city/mathura/-3225-04-08","hi":"https://hi.vidhyamitra.com/city/mathura/-3225-04-08","x-default":"https://vidhyamitra.com/city/mathura/-3225-04-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T01:20:43.229Z","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":"2026-08-12T01:20:43.229Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T01:20:43.229Z","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"}}}