{"id":"vidhyamitra:city-day:mathura:1915-08-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1915-08-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1915-08-10","date_display":"August 10, 1915 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":"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":1915,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420719.770833,"kali_year":5017,"ahargana":1832254.2708,"sun":{"sidereal_longitude":113.2711,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":101.9076,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.6364,"elapsed_within_tithi_degrees":0.6364},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.9076,"elapsed_within_degrees":8.5742},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.1787},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":1915,"month":8,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2420719.770833,"ahargana":1832254.2708,"kali_year":5017,"ayanamsa_lahiri":22.6741,"grahas":{"sun":{"sidereal_longitude":113.65536099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":102.95566099999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":1.2726},"mars":{"sidereal_longitude":62.35916099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":110.09696100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":335.8066610000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":105.669061,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":79.16356100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.3513,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.3513,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1915,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420719.770833,"kali_year":5017,"ahargana":1832254.2708,"sun":{"sidereal_longitude":113.2711,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":101.9076,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.6364,"elapsed_within_tithi_degrees":0.6364},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.9076,"elapsed_within_degrees":8.5742},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.1787},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.273,"elongation":11.364},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.273,"opposition_distance":168.636}},"eclipse_window_40days":[{"offset_days":1,"type":"solar","occurs":true,"moon_latitude":0.27,"elongation":0.635}]},"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":"05:46","sunsetLocal":"19:03","solarNoonLocal":"12:24","dayLengthHours":13.271573933547263,"dayLengthDisplay":"13 Hours 16 Mins 18 Secs","nightLengthDisplay":"10 Hours 43 Mins 42 Secs","moonriseLocal":"04:58","moonsetLocal":"18:25","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:23","startHours":15.724055210176125,"endHours":17.38300195186953,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.088268243402492,"endHours":10.747214985095901,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:04","startHours":12.406161726789309,"endHours":14.065108468482716,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.867075344510038,"endHours":9.309461142294948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:41","startHours":6.3233570072468135,"endHours":6.6772656454747406,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.9637759290044,"endHours":12.848547524574217,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:53","startHours":4.000831568876042,"endHours":4.88560316444586,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:46","startHours":4.664410265553405,"endHours":5.770374760015677,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.618090715713853,"endHours":15.502862311283671,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.84194869356294,"endHours":19.24194869356294,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:36","startHours":19.04194869356294,"endHours":19.594930940794075,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.79194869356294,"endHours":20.54194869356294,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.9637759290044,"endHours":24.848547524574215,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:46","end":"07:26","startHours":5.770374760015677,"endHours":7.429321501709085,"quality":"inauspicious"},{"name":"Udveg","start":"07:26","end":"09:05","startHours":7.429321501709085,"endHours":9.088268243402492,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.088268243402492,"endHours":10.747214985095901,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:24","startHours":10.747214985095901,"endHours":12.406161726789309,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:04","startHours":12.406161726789309,"endHours":14.065108468482716,"quality":"auspicious"},{"name":"Kāla","start":"14:04","end":"15:43","startHours":14.065108468482716,"endHours":15.724055210176125,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:23","startHours":15.724055210176125,"endHours":17.38300195186953,"quality":"auspicious"},{"name":"Roga","start":"17:23","end":"19:03","startHours":17.38300195186953,"endHours":19.04194869356294,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:23","startHours":19.04194869356294,"endHours":20.38300195186953,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"21:43","startHours":20.38300195186953,"endHours":21.724055210176125,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:04","startHours":21.724055210176125,"endHours":23.065108468482716,"quality":"inauspicious"},{"name":"Udveg","start":"23:04","end":"00:24","startHours":23.065108468482716,"endHours":24.406161726789307,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:45","startHours":24.406161726789307,"endHours":25.7472149850959,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.7472149850959,"endHours":27.088268243402492,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:26","startHours":27.088268243402492,"endHours":28.429321501709083,"quality":"auspicious"},{"name":"Kāla","start":"04:26","end":"05:46","startHours":28.429321501709083,"endHours":29.770374760015677,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.770374760015677,"endHours":6.770374760015677,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.770374760015677,"endHours":7.770374760015677,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.770374760015677,"endHours":8.770374760015677,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.770374760015677,"endHours":9.770374760015677,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.770374760015677,"endHours":10.770374760015677,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.770374760015677,"endHours":11.770374760015677,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.770374760015677,"endHours":12.770374760015677,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.770374760015677,"endHours":13.770374760015677,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.770374760015677,"endHours":14.770374760015677,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.770374760015677,"endHours":15.770374760015677,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.770374760015677,"endHours":16.770374760015677,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.770374760015677,"endHours":17.770374760015677,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.770374760015677,"endHours":18.770374760015677,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.770374760015677,"endHours":19.770374760015677,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.770374760015677,"endHours":20.770374760015677,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.770374760015677,"endHours":21.770374760015677,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.770374760015677,"endHours":22.770374760015677,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.770374760015677,"endHours":23.770374760015677,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.770374760015677,"endHours":24.770374760015677,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.770374760015677,"endHours":25.770374760015677,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.770374760015677,"endHours":26.770374760015677,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.770374760015677,"endHours":27.770374760015677,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.770374760015677,"endHours":28.770374760015677,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.770374760015677,"endHours":29.770374760015677,"planetary_lord":"Saturn"}],"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":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.940470556914267,"eotMinutes":-5.064503607358518,"ayanamsa":22.6741}},"calendars":{"vikram_samvat":1972,"vikram_samvatsara":"Vibhava","saka_samvat":1837,"saka_samvatsara":"Rākṣasa","bengali_samvat":1322,"malayalam_era":1091,"nanakshahi_year":446,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Amāvasyā · Vikram 1972 Vibhava · Śaka 1837 Rākṣasa"},"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":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 August 10, 1915 CE · Mathurā · Vidhyamitra","description":"August 10, 1915 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:46, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1915-08-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1915-08-10","sa":"https://sa.vidhyamitra.com/city/mathura/1915-08-10","hi":"https://hi.vidhyamitra.com/city/mathura/1915-08-10","x-default":"https://vidhyamitra.com/city/mathura/1915-08-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:53:26.868Z","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":"2026-08-10T12:53:26.868Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:53:26.868Z","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"}}}