{"id":"vidhyamitra:city-day:mathura:-0504-04-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0504-04-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-04-26","date_display":"April 26, 505 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":-504,"month":4,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537087.770833,"kali_year":2598,"ahargana":948622.2708,"sun":{"sidereal_longitude":45.8541,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":185.8059,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.9518,"elapsed_within_tithi_degrees":7.9518},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.8059,"elapsed_within_degrees":12.4726},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.66},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-504,"month":4,"day":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537087.770833,"ahargana":948622.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1216,"grahas":{"sun":{"sidereal_longitude":45.8541,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":185.8059,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.3625},"mars":{"sidereal_longitude":328.0062,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":57.4956,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":355.0364,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":358.3327,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":37.7714,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":317.427,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.427,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"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":-504,"month":4,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537087.770833,"kali_year":2598,"ahargana":948622.2708,"sun":{"sidereal_longitude":45.8541,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":185.8059,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.9518,"elapsed_within_tithi_degrees":7.9518},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.8059,"elapsed_within_degrees":12.4726},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.66},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.362,"elongation":139.952},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.362,"opposition_distance":40.048}},"eclipse_window_40days":[]},"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":"05:45","sunsetLocal":"18:49","solarNoonLocal":"12:17","dayLengthHours":13.05685989710369,"dayLengthDisplay":"13 Hours 03 Mins 25 Secs","nightLengthDisplay":"10 Hours 56 Mins 35 Secs","moonriseLocal":"15:30","moonsetLocal":"03:44","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:01","startHours":7.3893845289079305,"endHours":9.021492016045892,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:17","startHours":10.653599503183852,"endHours":12.285706990321813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:33","startHours":13.917814477459775,"endHours":15.549921964597736,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:14","startHours":8.803877684427498,"endHours":9.239106347664286,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.301312870815956,"endHours":6.649495801405387,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.850478327085023,"endHours":12.720935653558604,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.01636238882281,"endHours":4.88681971529639,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.669205383677995,"endHours":5.757277041769969,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.461850306505761,"endHours":15.33230763297934,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.61413693887366,"endHours":19.01413693887366,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:21","startHours":18.81413693887366,"endHours":19.358172767919648,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.56413693887366,"endHours":20.31413693887366,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.850478327085025,"endHours":24.720935653558602,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:23","startHours":5.757277041769969,"endHours":7.3893845289079305,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:01","startHours":7.3893845289079305,"endHours":9.021492016045892,"quality":"inauspicious"},{"name":"Śubha","start":"09:01","end":"10:39","startHours":9.021492016045892,"endHours":10.653599503183852,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:17","startHours":10.653599503183852,"endHours":12.285706990321813,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:55","startHours":12.285706990321813,"endHours":13.917814477459775,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:33","startHours":13.917814477459775,"endHours":15.549921964597736,"quality":"neutral"},{"name":"Labha","start":"15:33","end":"17:11","startHours":15.549921964597736,"endHours":17.182029451735698,"quality":"auspicious"},{"name":"Amṛta","start":"17:11","end":"18:49","startHours":17.182029451735698,"endHours":18.81413693887366,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:49","end":"20:11","startHours":18.81413693887366,"endHours":20.182029451735698,"quality":"neutral"},{"name":"Labha","start":"20:11","end":"21:33","startHours":20.182029451735698,"endHours":21.549921964597736,"quality":"auspicious"},{"name":"Amṛta","start":"21:33","end":"22:55","startHours":21.549921964597736,"endHours":22.917814477459775,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:17","startHours":22.917814477459775,"endHours":24.285706990321813,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:39","startHours":24.285706990321813,"endHours":25.65359950318385,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:01","startHours":25.65359950318385,"endHours":27.02149201604589,"quality":"inauspicious"},{"name":"Udveg","start":"03:01","end":"04:23","startHours":27.02149201604589,"endHours":28.389384528907932,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:45","startHours":28.389384528907932,"endHours":29.757277041769967,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.757277041769969,"endHours":6.757277041769969,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.757277041769969,"endHours":7.757277041769969,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.757277041769969,"endHours":8.757277041769969,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.757277041769969,"endHours":9.757277041769969,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.757277041769969,"endHours":10.757277041769969,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.757277041769969,"endHours":11.757277041769969,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.757277041769969,"endHours":12.757277041769969,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.757277041769969,"endHours":13.757277041769969,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.757277041769969,"endHours":14.757277041769969,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.757277041769969,"endHours":15.757277041769969,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.757277041769969,"endHours":16.757277041769967,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.757277041769967,"endHours":17.757277041769967,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.757277041769967,"endHours":18.757277041769967,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.757277041769967,"endHours":19.757277041769967,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.757277041769967,"endHours":20.757277041769967,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.757277041769967,"endHours":21.757277041769967,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.757277041769967,"endHours":22.757277041769967,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.757277041769967,"endHours":23.757277041769967,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.757277041769967,"endHours":24.757277041769967,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.757277041769967,"endHours":25.757277041769967,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.757277041769967,"endHours":26.757277041769967,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.757277041769967,"endHours":27.757277041769967,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.757277041769967,"endHours":28.757277041769967,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.757277041769967,"endHours":29.757277041769967,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.09735770649025,"eotMinutes":2.162780580691212,"ayanamsa":-11.1216}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla 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 Śukla Dvādaśī · Vikram -447 undefined · Śaka -582 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 26, 505 BCE · Mathurā · Vidhyamitra","description":"April 26, 505 BCE for Mathurā: Śukla Dvādaśī, sūryodaya 05:45, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0504-04-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0504-04-26","sa":"https://sa.vidhyamitra.com/city/mathura/-0504-04-26","hi":"https://hi.vidhyamitra.com/city/mathura/-0504-04-26","x-default":"https://vidhyamitra.com/city/mathura/-0504-04-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T01:08:06.786Z","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":"2026-09-07T01:08:06.786Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T01:08:06.786Z","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"}}}