{"id":"vidhyamitra:city-day:mathura:1848-08-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1848-08-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1848-08-12","date_display":"August 12, 1848 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":1848,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396251.770833,"kali_year":4950,"ahargana":1807786.2708,"sun":{"sidereal_longitude":117.4111,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":262.3094,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.8983,"elapsed_within_tithi_degrees":0.8983},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.3094,"elapsed_within_degrees":8.976},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.7204},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1848,"month":8,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396251.770833,"ahargana":1807786.2708,"kali_year":4950,"ayanamsa_lahiri":21.7382,"grahas":{"sun":{"sidereal_longitude":117.65551800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":263.02491799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.2907},"mars":{"sidereal_longitude":141.19871799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":101.57081800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":106.05721800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":125.34031800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":334.44201799999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":154.7837,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":334.7837,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1848,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396251.770833,"kali_year":4950,"ahargana":1807786.2708,"sun":{"sidereal_longitude":117.4111,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":262.3094,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.8983,"elapsed_within_tithi_degrees":0.8983},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.3094,"elapsed_within_degrees":8.976},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.7204},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.291,"elongation":144.898},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.291,"opposition_distance":35.102}},"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":"05:48","sunsetLocal":"19:00","solarNoonLocal":"12:24","dayLengthHours":13.200006631883468,"dayLengthDisplay":"13 Hours 12 Mins 00 Secs","nightLengthDisplay":"10 Hours 48 Mins 00 Secs","moonriseLocal":"16:53","moonsetLocal":"03:18","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.100738355959852,"endHours":10.750739184945285,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:42","startHours":14.050740842916152,"endHours":15.700741671901586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:48","end":"07:27","startHours":5.800736697988984,"endHours":7.450737526974417,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.88073824542846,"endHours":9.320738466491242,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.350736974317462,"endHours":6.702737151167687,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.960739792867937,"endHours":12.8407402349935,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:55","startHours":4.040735813737855,"endHours":4.920736255863419,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.700736145332028,"endHours":5.800736697988984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.600741119244631,"endHours":15.480741561370197,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.800743329872454,"endHours":19.200743329872452,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":19.000743329872453,"endHours":19.550743606200932,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.750743329872453,"endHours":20.500743329872453,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.960739792867937,"endHours":24.8407402349935,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:48","end":"07:27","startHours":5.800736697988984,"endHours":7.450737526974417,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:06","startHours":7.450737526974417,"endHours":9.100738355959852,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.100738355959852,"endHours":10.750739184945285,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.750739184945285,"endHours":12.400740013930719,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:03","startHours":12.400740013930719,"endHours":14.050740842916152,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:42","startHours":14.050740842916152,"endHours":15.700741671901586,"quality":"auspicious"},{"name":"Amṛta","start":"15:42","end":"17:21","startHours":15.700741671901586,"endHours":17.35074250088702,"quality":"auspicious"},{"name":"Kāla","start":"17:21","end":"19:00","startHours":17.35074250088702,"endHours":19.000743329872453,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:00","end":"20:21","startHours":19.000743329872453,"endHours":20.35074250088702,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"21:42","startHours":20.35074250088702,"endHours":21.700741671901586,"quality":"auspicious"},{"name":"Kāla","start":"21:42","end":"23:03","startHours":21.700741671901586,"endHours":23.050740842916152,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:24","startHours":23.050740842916152,"endHours":24.40074001393072,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.40074001393072,"endHours":25.750739184945285,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.750739184945285,"endHours":27.10073835595985,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:27","startHours":27.10073835595985,"endHours":28.450737526974418,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:48","startHours":28.450737526974418,"endHours":29.800736697988985,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.800736697988984,"endHours":6.800736697988984,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.800736697988984,"endHours":7.800736697988984,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.800736697988984,"endHours":8.800736697988985,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.800736697988985,"endHours":9.800736697988985,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.800736697988985,"endHours":10.800736697988985,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.800736697988985,"endHours":11.800736697988985,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.800736697988985,"endHours":12.800736697988985,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.800736697988985,"endHours":13.800736697988985,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.800736697988985,"endHours":14.800736697988985,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.800736697988985,"endHours":15.800736697988985,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.800736697988985,"endHours":16.800736697988985,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.800736697988985,"endHours":17.800736697988985,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.800736697988985,"endHours":18.800736697988985,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.800736697988985,"endHours":19.800736697988985,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.800736697988985,"endHours":20.800736697988985,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.800736697988985,"endHours":21.800736697988985,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.800736697988985,"endHours":22.800736697988985,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.800736697988985,"endHours":23.800736697988985,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.800736697988985,"endHours":24.800736697988985,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.800736697988985,"endHours":25.800736697988985,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.800736697988985,"endHours":26.800736697988985,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.800736697988985,"endHours":27.800736697988985,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.800736697988985,"endHours":28.800736697988985,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.800736697988985,"endHours":29.800736697988985,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","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":15.002852853461414,"eotMinutes":-4.739200835843176,"ayanamsa":21.7382}},"calendars":{"vikram_samvat":1905,"vikram_samvatsara":"Durmati","saka_samvat":1770,"saka_samvatsara":"Kīlaka","bengali_samvat":1255,"malayalam_era":1024,"nanakshahi_year":379,"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 Trayodaśī · Vikram 1905 Durmati · Śaka 1770 Kīlaka"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śanivāra (Saturday) — 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 12, 1848 CE · Mathurā · Vidhyamitra","description":"August 12, 1848 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:48, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1848-08-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1848-08-12","sa":"https://sa.vidhyamitra.com/city/mathura/1848-08-12","hi":"https://hi.vidhyamitra.com/city/mathura/1848-08-12","x-default":"https://vidhyamitra.com/city/mathura/1848-08-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:34:45.221Z","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":"2026-08-10T12:34:45.221Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:34:45.221Z","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"}}}