{"id":"vidhyamitra:city-day:mathura:1898-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1898-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1898-08-15","date_display":"August 15, 1898 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":1898,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2414516.770833,"kali_year":5000,"ahargana":1826051.2708,"sun":{"sidereal_longitude":119.3824,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":91.6211,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.2387,"elapsed_within_tithi_degrees":8.2387},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.6211,"elapsed_within_degrees":11.6211},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.0035},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1898,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2414516.770833,"ahargana":1826051.2708,"kali_year":5000,"ayanamsa_lahiri":22.4368,"grahas":{"sun":{"sidereal_longitude":119.758061,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":93.054461,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-0.3609},"mars":{"sidereal_longitude":57.126161000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":147.73186099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":166.95746099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":164.06856100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.38196100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":267.0161,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":87.0161,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"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":1898,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2414516.770833,"kali_year":5000,"ahargana":1826051.2708,"sun":{"sidereal_longitude":119.3824,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":91.6211,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.2387,"elapsed_within_tithi_degrees":8.2387},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.6211,"elapsed_within_degrees":11.6211},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.0035},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.361,"elongation":27.761},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.361,"opposition_distance":152.239}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":1.419,"opposition_distance":0.883}]},"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":"05:50","sunsetLocal":"18:57","solarNoonLocal":"12:23","dayLengthHours":13.132642994706849,"dayLengthDisplay":"13 Hours 07 Mins 58 Secs","nightLengthDisplay":"10 Hours 52 Mins 02 Secs","moonriseLocal":"03:48","moonsetLocal":"17:26","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"09:06","startHours":7.466624005762074,"endHours":9.10820438010043,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:23","startHours":10.749784754438785,"endHours":12.391365128777142,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:02","end":"15:40","startHours":14.0329455031155,"endHours":15.674525877453855,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.889326996855317,"endHours":9.327081763345545,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.372237089536503,"endHours":6.722440902728685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.953610362286915,"endHours":12.82911989526737,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.074024565462804,"endHours":4.949534098443261,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:50","startHours":4.730656715198147,"endHours":5.825043631423718,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:27","startHours":14.580138961228284,"endHours":15.455648494208742,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.757686626130567,"endHours":19.157686626130566,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:30","startHours":18.957686626130567,"endHours":19.504880084243354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.707686626130567,"endHours":20.457686626130567,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.953610362286913,"endHours":24.82911989526737,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:50","end":"07:28","startHours":5.825043631423718,"endHours":7.466624005762074,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"09:06","startHours":7.466624005762074,"endHours":9.10820438010043,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:45","startHours":9.10820438010043,"endHours":10.749784754438785,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:23","startHours":10.749784754438785,"endHours":12.391365128777142,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.0329455031155,"quality":"inauspicious"},{"name":"Chala","start":"14:02","end":"15:40","startHours":14.0329455031155,"endHours":15.674525877453855,"quality":"neutral"},{"name":"Labha","start":"15:40","end":"17:19","startHours":15.674525877453855,"endHours":17.31610625179221,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"18:57","startHours":17.31610625179221,"endHours":18.957686626130567,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:57","end":"20:19","startHours":18.957686626130567,"endHours":20.31610625179221,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:40","startHours":20.31610625179221,"endHours":21.674525877453853,"quality":"auspicious"},{"name":"Amṛta","start":"21:40","end":"23:02","startHours":21.674525877453853,"endHours":23.0329455031155,"quality":"auspicious"},{"name":"Kāla","start":"23:02","end":"00:23","startHours":23.0329455031155,"endHours":24.391365128777142,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:45","startHours":24.391365128777142,"endHours":25.749784754438785,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:06","startHours":25.749784754438785,"endHours":27.10820438010043,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:28","startHours":27.10820438010043,"endHours":28.466624005762075,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"05:50","startHours":28.466624005762075,"endHours":29.825043631423718,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.825043631423718,"endHours":6.825043631423718,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.825043631423718,"endHours":7.825043631423718,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.825043631423718,"endHours":8.825043631423718,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.825043631423718,"endHours":9.825043631423718,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.825043631423718,"endHours":10.825043631423718,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.825043631423718,"endHours":11.825043631423718,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.825043631423718,"endHours":12.825043631423718,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.825043631423718,"endHours":13.825043631423718,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.825043631423718,"endHours":14.825043631423718,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.825043631423718,"endHours":15.825043631423718,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.825043631423718,"endHours":16.825043631423718,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.825043631423718,"endHours":17.825043631423718,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.825043631423718,"endHours":18.825043631423718,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.825043631423718,"endHours":19.825043631423718,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.825043631423718,"endHours":20.825043631423718,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.825043631423718,"endHours":21.825043631423718,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.825043631423718,"endHours":22.825043631423718,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.825043631423718,"endHours":23.825043631423718,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.825043631423718,"endHours":24.825043631423718,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.825043631423718,"endHours":25.825043631423718,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.825043631423718,"endHours":26.825043631423718,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.825043631423718,"endHours":27.825043631423718,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.825043631423718,"endHours":28.825043631423718,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.825043631423718,"endHours":29.825043631423718,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.111000487954,"eotMinutes":-4.176707726628523,"ayanamsa":22.4368}},"calendars":{"vikram_samvat":1955,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1820,"saka_samvatsara":"Vilambī","bengali_samvat":1305,"malayalam_era":1074,"nanakshahi_year":429,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 1955 Virodhakṛt · Śaka 1820 Vilambī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 15, 1898 CE · Mathurā · Vidhyamitra","description":"August 15, 1898 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1898-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1898-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/1898-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/1898-08-15","x-default":"https://vidhyamitra.com/city/mathura/1898-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:56:26.204Z","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":"2026-05-14T14:56:26.204Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:56:26.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}