{"id":"vidhyamitra:city-day:mathura:2115-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2115-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-05-01","date_display":"May 1, 2115 CE","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493667.770833,"kali_year":5217,"ahargana":1905202.2708,"sun":{"sidereal_longitude":14.5175,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":97.5481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0306,"elapsed_within_tithi_degrees":11.0306},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.5481,"elapsed_within_degrees":4.2148},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.0657},"karana":{"half_tithi_index":13,"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":2115,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493667.770833,"ahargana":1905202.2708,"kali_year":5217,"ayanamsa_lahiri":25.464,"grahas":{"sun":{"sidereal_longitude":14.715810999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":99.79821099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":4.0552},"mars":{"sidereal_longitude":62.730710999999985,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":18.802710999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":274.491311,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":351.946611,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":351.476711,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":33.2152,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":213.2152,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493667.770833,"kali_year":5217,"ahargana":1905202.2708,"sun":{"sidereal_longitude":14.5175,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":97.5481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0306,"elapsed_within_tithi_degrees":11.0306},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.5481,"elapsed_within_degrees":4.2148},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.0657},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.055,"elongation":83.031},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.055,"opposition_distance":96.969}},"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":"05:41","sunsetLocal":"18:52","solarNoonLocal":"12:16","dayLengthHours":13.189864801311119,"dayLengthDisplay":"13 Hours 11 Mins 24 Secs","nightLengthDisplay":"10 Hours 48 Mins 36 Secs","moonriseLocal":"11:13","moonsetLocal":"00:41","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.921852978014444,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:20","end":"08:59","startHours":7.326920577358884,"endHours":8.975653677522773,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:37","end":"12:16","startHours":10.624386777686663,"endHours":12.273119877850554,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.755822597500922,"endHours":9.195484757544627,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.227765177249624,"endHours":6.579494905284587,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.83345771780685,"endHours":12.712782037894259,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.9195388370201782,"endHours":4.798863157107586,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:41","startHours":4.579032077085734,"endHours":5.678187477194994,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.471430678069073,"endHours":15.35075499815648,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.668052278506114,"endHours":19.068052278506112,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.868052278506113,"endHours":19.417629978560743,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.618052278506113,"endHours":20.368052278506113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.83345771780685,"endHours":24.712782037894257,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:41","end":"07:20","startHours":5.678187477194994,"endHours":7.326920577358884,"quality":"auspicious"},{"name":"Amṛta","start":"07:20","end":"08:59","startHours":7.326920577358884,"endHours":8.975653677522773,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:37","startHours":8.975653677522773,"endHours":10.624386777686663,"quality":"inauspicious"},{"name":"Śubha","start":"10:37","end":"12:16","startHours":10.624386777686663,"endHours":12.273119877850554,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.921852978014444,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:34","startHours":13.921852978014444,"endHours":15.570586078178334,"quality":"inauspicious"},{"name":"Chala","start":"15:34","end":"17:13","startHours":15.570586078178334,"endHours":17.219319178342225,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:52","startHours":17.219319178342225,"endHours":18.868052278506113,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:52","end":"20:13","startHours":18.868052278506113,"endHours":20.21931917834222,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:34","startHours":20.21931917834222,"endHours":21.570586078178334,"quality":"neutral"},{"name":"Labha","start":"21:34","end":"22:55","startHours":21.570586078178334,"endHours":22.921852978014442,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:16","startHours":22.921852978014442,"endHours":24.273119877850554,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:37","startHours":24.273119877850554,"endHours":25.624386777686663,"quality":"inauspicious"},{"name":"Śubha","start":"01:37","end":"02:59","startHours":25.624386777686663,"endHours":26.97565367752277,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:20","startHours":26.97565367752277,"endHours":28.326920577358884,"quality":"inauspicious"},{"name":"Udveg","start":"04:20","end":"05:41","startHours":28.326920577358884,"endHours":29.678187477194996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.678187477194994,"endHours":6.678187477194994,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.678187477194994,"endHours":7.678187477194994,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.678187477194994,"endHours":8.678187477194994,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.678187477194994,"endHours":9.678187477194994,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.678187477194994,"endHours":10.678187477194994,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.678187477194994,"endHours":11.678187477194994,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.678187477194994,"endHours":12.678187477194994,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.678187477194994,"endHours":13.678187477194994,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.678187477194994,"endHours":14.678187477194994,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.678187477194994,"endHours":15.678187477194994,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.678187477194994,"endHours":16.678187477194996,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.678187477194996,"endHours":17.678187477194996,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.678187477194996,"endHours":18.678187477194996,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.678187477194996,"endHours":19.678187477194996,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.678187477194996,"endHours":20.678187477194996,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.678187477194996,"endHours":21.678187477194996,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.678187477194996,"endHours":22.678187477194996,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.678187477194996,"endHours":23.678187477194996,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.678187477194996,"endHours":24.678187477194996,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.678187477194996,"endHours":25.678187477194996,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.678187477194996,"endHours":26.678187477194996,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.678187477194996,"endHours":27.678187477194996,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.678187477194996,"endHours":28.678187477194996,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.678187477194996,"endHours":29.678187477194996,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-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":14.869149354369556,"eotMinutes":2.918007328966811,"ayanamsa":25.464}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla 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 Śukla Saptamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"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":false,"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 1, 2115 CE · Mathurā · Vidhyamitra","description":"May 1, 2115 CE for Mathurā: Śukla Saptamī, sūryodaya 05:41, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2115-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2115-05-01","sa":"https://sa.vidhyamitra.com/city/mathura/2115-05-01","hi":"https://hi.vidhyamitra.com/city/mathura/2115-05-01","x-default":"https://vidhyamitra.com/city/mathura/2115-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:36:53.816Z","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":"2026-06-02T02:36:53.816Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:36:53.816Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}