{"id":"vidhyamitra:city-day:mathura:1815-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1815-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1815-08-04","date_display":"August 4, 1815 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":1815,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384189.770833,"kali_year":4917,"ahargana":1795724.2708,"sun":{"sidereal_longitude":109.3404,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.3291,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.9886,"elapsed_within_tithi_degrees":6.9886},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.3291,"elapsed_within_degrees":12.3291},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.6695},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1815,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2384189.770833,"ahargana":1795724.2708,"kali_year":4917,"ayanamsa_lahiri":21.2769,"grahas":{"sun":{"sidereal_longitude":109.46077500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":91.66877499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":1.4223},"mars":{"sidereal_longitude":2.1768749999999955,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":95.62937499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":167.10277500000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":157.79567500000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":289.49057500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":73.8865,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":253.8865,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":1815,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384189.770833,"kali_year":4917,"ahargana":1795724.2708,"sun":{"sidereal_longitude":109.3404,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.3291,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.9886,"elapsed_within_tithi_degrees":6.9886},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.3291,"elapsed_within_degrees":12.3291},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.6695},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.422,"elongation":17.011},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.422,"opposition_distance":162.989}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-1.459,"opposition_distance":2.474}]},"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":"05:43","sunsetLocal":"19:07","solarNoonLocal":"12:25","dayLengthHours":13.395559166634708,"dayLengthDisplay":"13 Hours 23 Mins 44 Secs","nightLengthDisplay":"10 Hours 36 Mins 16 Secs","moonriseLocal":"04:24","moonsetLocal":"18:04","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:25","startHours":10.743872861904626,"endHours":12.418317757733965,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:46","end":"17:26","startHours":15.76720754939264,"endHours":17.44165244522198,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"09:04","startHours":7.394983070245949,"endHours":9.069427966075288,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.846168646631376,"endHours":9.2926872855192,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.27868647302639,"endHours":6.635901384136649,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.97179911884614,"endHours":12.864836396621788,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:50","startHours":3.934463618865316,"endHours":4.827500896640963,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:43","startHours":4.604241577197051,"endHours":5.72053817441661,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.650910952173083,"endHours":15.54394822994873,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.91609734105132,"endHours":19.316097341051318,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.11609734105132,"endHours":19.6742456396611,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.86609734105132,"endHours":20.61609734105132,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.971799118846143,"endHours":24.86483639662179,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:43","end":"07:24","startHours":5.72053817441661,"endHours":7.394983070245949,"quality":"neutral"},{"name":"Labha","start":"07:24","end":"09:04","startHours":7.394983070245949,"endHours":9.069427966075288,"quality":"auspicious"},{"name":"Amṛta","start":"09:04","end":"10:45","startHours":9.069427966075288,"endHours":10.743872861904626,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:25","startHours":10.743872861904626,"endHours":12.418317757733965,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:06","startHours":12.418317757733965,"endHours":14.092762653563303,"quality":"auspicious"},{"name":"Roga","start":"14:06","end":"15:46","startHours":14.092762653563303,"endHours":15.76720754939264,"quality":"inauspicious"},{"name":"Udveg","start":"15:46","end":"17:26","startHours":15.76720754939264,"endHours":17.44165244522198,"quality":"inauspicious"},{"name":"Chala","start":"17:26","end":"19:07","startHours":17.44165244522198,"endHours":19.11609734105132,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:07","end":"20:26","startHours":19.11609734105132,"endHours":20.44165244522198,"quality":"inauspicious"},{"name":"Udveg","start":"20:26","end":"21:46","startHours":20.44165244522198,"endHours":21.76720754939264,"quality":"inauspicious"},{"name":"Chala","start":"21:46","end":"23:06","startHours":21.76720754939264,"endHours":23.0927626535633,"quality":"neutral"},{"name":"Labha","start":"23:06","end":"00:25","startHours":23.0927626535633,"endHours":24.418317757733966,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.743872861904627,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:04","startHours":25.743872861904627,"endHours":27.06942796607529,"quality":"inauspicious"},{"name":"Śubha","start":"03:04","end":"04:24","startHours":27.06942796607529,"endHours":28.39498307024595,"quality":"auspicious"},{"name":"Roga","start":"04:24","end":"05:43","startHours":28.39498307024595,"endHours":29.72053817441661,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.72053817441661,"endHours":6.72053817441661,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.72053817441661,"endHours":7.72053817441661,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.72053817441661,"endHours":8.72053817441661,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.72053817441661,"endHours":9.72053817441661,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.72053817441661,"endHours":10.72053817441661,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.72053817441661,"endHours":11.72053817441661,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.72053817441661,"endHours":12.72053817441661,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.72053817441661,"endHours":13.72053817441661,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.72053817441661,"endHours":14.72053817441661,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.72053817441661,"endHours":15.72053817441661,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.72053817441661,"endHours":16.72053817441661,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.72053817441661,"endHours":17.72053817441661,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.72053817441661,"endHours":18.72053817441661,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.72053817441661,"endHours":19.72053817441661,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.72053817441661,"endHours":20.72053817441661,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.72053817441661,"endHours":21.72053817441661,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.72053817441661,"endHours":22.72053817441661,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.72053817441661,"endHours":23.72053817441661,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.72053817441661,"endHours":24.72053817441661,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.72053817441661,"endHours":25.72053817441661,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.72053817441661,"endHours":26.72053817441661,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.72053817441661,"endHours":27.72053817441661,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.72053817441661,"endHours":28.72053817441661,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.72053817441661,"endHours":29.72053817441661,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.539548168880074,"eotMinutes":-5.793865464037833,"ayanamsa":21.2769}},"calendars":{"vikram_samvat":1872,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1737,"saka_samvatsara":"Yuva","bengali_samvat":1222,"malayalam_era":991,"nanakshahi_year":346,"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 Caturdaśī · Vikram 1872 Sarvadhāri · Śaka 1737 Yuva"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Śukravāra (Friday) — 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 4, 1815 CE · Mathurā · Vidhyamitra","description":"August 4, 1815 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:43, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1815-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1815-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/1815-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/1815-08-04","x-default":"https://vidhyamitra.com/city/mathura/1815-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T09:11:32.368Z","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":"2026-09-06T09:11:32.368Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T09:11:32.368Z","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"}}}