{"id":"vidhyamitra:city-day:mathura:-3156-05-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3156-05-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-05-26","date_display":"May 26, 3157 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":-3156,"month":5,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568474.770833,"kali_year":-54,"ahargana":-19990.7292,"sun":{"sidereal_longitude":96.3009,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":109.1438,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.8429,"elapsed_within_tithi_degrees":0.8429},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1438,"elapsed_within_degrees":2.4772},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.4448},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3156,"month":5,"day":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568474.770833,"ahargana":-19990.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1674,"grahas":{"sun":{"sidereal_longitude":96.3009,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":109.1438,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false,"latitude":-3.4488},"mars":{"sidereal_longitude":11.4123,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":106.7336,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":133.9011,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":62.6959,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":54.7121,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":159.205,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.205,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":-3156,"month":5,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568474.770833,"kali_year":-54,"ahargana":-19990.7292,"sun":{"sidereal_longitude":96.3009,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":109.1438,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.8429,"elapsed_within_tithi_degrees":0.8429},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1438,"elapsed_within_degrees":2.4772},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.4448},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.449,"elongation":12.843},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.449,"opposition_distance":167.157}},"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":"05:35","sunsetLocal":"18:57","solarNoonLocal":"12:16","dayLengthHours":13.371282282592531,"dayLengthDisplay":"13 Hours 22 Mins 17 Secs","nightLengthDisplay":"10 Hours 37 Mins 43 Secs","moonriseLocal":"06:20","moonsetLocal":"19:55","rahuKala":{"name":"Rāhu Kāla","start":"08:56","end":"10:36","startHours":8.926983862876543,"endHours":10.598394148200612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:37","startHours":13.941214718848745,"endHours":15.61262500417281,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:35","end":"07:15","startHours":5.5841632922284115,"endHours":7.255573577552478,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:09","startHours":8.704129158166669,"endHours":9.14983856758642,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.1413000540031,"endHours":6.497867581538901,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.824095024104926,"endHours":12.715513842944427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:48","end":"04:42","startHours":3.801325654549407,"endHours":4.69274447338891,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:35","startHours":4.4698897686790335,"endHours":5.5841632922284115,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.498351480623434,"endHours":15.389770299462937,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.755445574820943,"endHours":19.15544557482094,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:31","startHours":18.955445574820942,"endHours":19.51258233659563,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.705445574820942,"endHours":20.455445574820942,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.824095024104924,"endHours":24.71551384294443,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:35","end":"07:15","startHours":5.5841632922284115,"endHours":7.255573577552478,"quality":"inauspicious"},{"name":"Śubha","start":"07:15","end":"08:56","startHours":7.255573577552478,"endHours":8.926983862876543,"quality":"auspicious"},{"name":"Roga","start":"08:56","end":"10:36","startHours":8.926983862876543,"endHours":10.598394148200612,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:16","startHours":10.598394148200612,"endHours":12.269804433524676,"quality":"inauspicious"},{"name":"Chala","start":"12:16","end":"13:56","startHours":12.269804433524676,"endHours":13.941214718848745,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:37","startHours":13.941214718848745,"endHours":15.61262500417281,"quality":"auspicious"},{"name":"Amṛta","start":"15:37","end":"17:17","startHours":15.61262500417281,"endHours":17.284035289496877,"quality":"auspicious"},{"name":"Kāla","start":"17:17","end":"18:57","startHours":17.284035289496877,"endHours":18.955445574820942,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:57","end":"20:17","startHours":18.955445574820942,"endHours":20.284035289496877,"quality":"auspicious"},{"name":"Amṛta","start":"20:17","end":"21:37","startHours":20.284035289496877,"endHours":21.61262500417281,"quality":"auspicious"},{"name":"Kāla","start":"21:37","end":"22:56","startHours":21.61262500417281,"endHours":22.94121471884874,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:16","startHours":22.94121471884874,"endHours":24.269804433524676,"quality":"auspicious"},{"name":"Roga","start":"00:16","end":"01:36","startHours":24.269804433524676,"endHours":25.59839414820061,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"02:56","startHours":25.59839414820061,"endHours":26.926983862876543,"quality":"inauspicious"},{"name":"Chala","start":"02:56","end":"04:15","startHours":26.926983862876543,"endHours":28.255573577552475,"quality":"neutral"},{"name":"Labha","start":"04:15","end":"05:35","startHours":28.255573577552475,"endHours":29.58416329222841,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.5841632922284115,"endHours":6.5841632922284115,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.5841632922284115,"endHours":7.5841632922284115,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.5841632922284115,"endHours":8.58416329222841,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.58416329222841,"endHours":9.58416329222841,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.58416329222841,"endHours":10.58416329222841,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.58416329222841,"endHours":11.58416329222841,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.58416329222841,"endHours":12.58416329222841,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.58416329222841,"endHours":13.58416329222841,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.58416329222841,"endHours":14.58416329222841,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.58416329222841,"endHours":15.58416329222841,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.58416329222841,"endHours":16.58416329222841,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.58416329222841,"endHours":17.58416329222841,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.58416329222841,"endHours":18.58416329222841,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.58416329222841,"endHours":19.58416329222841,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.58416329222841,"endHours":20.58416329222841,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.58416329222841,"endHours":21.58416329222841,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.58416329222841,"endHours":22.58416329222841,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.58416329222841,"endHours":23.58416329222841,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.58416329222841,"endHours":24.58416329222841,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.58416329222841,"endHours":25.58416329222841,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.58416329222841,"endHours":26.58416329222841,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.58416329222841,"endHours":27.58416329222841,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.58416329222841,"endHours":28.58416329222841,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.58416329222841,"endHours":29.58416329222841,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.22903562744826,"eotMinutes":3.1169339885193827,"ayanamsa":-48.1674}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla 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 Śukla Dvitīyā · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 May 26, 3157 BCE · Mathurā · Vidhyamitra","description":"May 26, 3157 BCE for Mathurā: Śukla Dvitīyā, sūryodaya 05:35, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3156-05-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3156-05-26","sa":"https://sa.vidhyamitra.com/city/mathura/-3156-05-26","hi":"https://hi.vidhyamitra.com/city/mathura/-3156-05-26","x-default":"https://vidhyamitra.com/city/mathura/-3156-05-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T17:50:54.530Z","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":"2026-09-08T17:50:54.530Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T17:50:54.530Z","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"}}}