{"id":"vidhyamitra:city-day:mathura:1845-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1845-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-05-16","date_display":"May 16, 1845 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":1845,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395067.770833,"kali_year":4947,"ahargana":1806602.2708,"sun":{"sidereal_longitude":33.6217,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":142.9214,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.2998,"elapsed_within_tithi_degrees":1.2998},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.9214,"elapsed_within_degrees":9.5881},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.5431},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":1845,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395067.770833,"ahargana":1806602.2708,"kali_year":4947,"ayanamsa_lahiri":21.693,"grahas":{"sun":{"sidereal_longitude":33.29565600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":140.166856,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-4.338},"mars":{"sidereal_longitude":290.4828560000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":24.63925599999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":6.696155999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":35.39965599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":299.15735599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.5177,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.5177,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1845,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395067.770833,"kali_year":4947,"ahargana":1806602.2708,"sun":{"sidereal_longitude":33.6217,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":142.9214,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.2998,"elapsed_within_tithi_degrees":1.2998},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.9214,"elapsed_within_degrees":9.5881},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.5431},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.338,"elongation":109.3},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.338,"opposition_distance":70.7}},"eclipse_window_40days":[{"offset_days":-10,"type":"solar","occurs":true,"moon_latitude":1.313,"elongation":2.958},{"offset_days":20,"type":"solar","occurs":true,"moon_latitude":-1.35,"elongation":1.25}]},"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":"05:30","sunsetLocal":"19:01","solarNoonLocal":"12:16","dayLengthHours":13.512064243021554,"dayLengthDisplay":"13 Hours 30 Mins 43 Secs","nightLengthDisplay":"10 Hours 29 Mins 17 Secs","moonriseLocal":"13:05","moonsetLocal":"01:41","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:16","startHours":10.570357720309183,"endHours":12.259365750686875,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:20","startHours":15.637381811442264,"endHours":17.32638984181996,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:12","end":"08:53","startHours":7.192341659553794,"endHours":8.881349689931488,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.656148619214463,"endHours":9.106550760648513,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:26","startHours":6.0663363059686635,"endHours":6.426658019115905,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.808963609252823,"endHours":12.709767892120928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:36","startHours":3.701725063439892,"endHours":4.602529346307996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:30","startHours":4.37732827559097,"endHours":5.503333629176099,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.511376457857134,"endHours":15.412180740725237,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.815397872197654,"endHours":19.215397872197652,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.015397872197653,"endHours":19.578400548990217,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.765397872197653,"endHours":20.515397872197653,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.808963609252825,"endHours":24.709767892120926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:30","end":"07:12","startHours":5.503333629176099,"endHours":7.192341659553794,"quality":"neutral"},{"name":"Labha","start":"07:12","end":"08:53","startHours":7.192341659553794,"endHours":8.881349689931488,"quality":"auspicious"},{"name":"Amṛta","start":"08:53","end":"10:34","startHours":8.881349689931488,"endHours":10.570357720309183,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:16","startHours":10.570357720309183,"endHours":12.259365750686875,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:57","startHours":12.259365750686875,"endHours":13.94837378106457,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"15:38","startHours":13.94837378106457,"endHours":15.637381811442264,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:20","startHours":15.637381811442264,"endHours":17.32638984181996,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"19:01","startHours":17.32638984181996,"endHours":19.015397872197653,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:01","end":"20:20","startHours":19.015397872197653,"endHours":20.32638984181996,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:38","startHours":20.32638984181996,"endHours":21.637381811442264,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:57","startHours":21.637381811442264,"endHours":22.94837378106457,"quality":"neutral"},{"name":"Labha","start":"22:57","end":"00:16","startHours":22.94837378106457,"endHours":24.259365750686875,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:34","startHours":24.259365750686875,"endHours":25.570357720309183,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:53","startHours":25.570357720309183,"endHours":26.88134968993149,"quality":"inauspicious"},{"name":"Śubha","start":"02:53","end":"04:12","startHours":26.88134968993149,"endHours":28.192341659553794,"quality":"auspicious"},{"name":"Roga","start":"04:12","end":"05:30","startHours":28.192341659553794,"endHours":29.503333629176097,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.503333629176099,"endHours":6.503333629176099,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.503333629176099,"endHours":7.503333629176099,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.503333629176099,"endHours":8.5033336291761,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.5033336291761,"endHours":9.5033336291761,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.5033336291761,"endHours":10.5033336291761,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.5033336291761,"endHours":11.5033336291761,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.5033336291761,"endHours":12.5033336291761,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.5033336291761,"endHours":13.5033336291761,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.5033336291761,"endHours":14.5033336291761,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.5033336291761,"endHours":15.5033336291761,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.5033336291761,"endHours":16.503333629176097,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.503333629176097,"endHours":17.503333629176097,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.503333629176097,"endHours":18.503333629176097,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.503333629176097,"endHours":19.503333629176097,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.503333629176097,"endHours":20.503333629176097,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.503333629176097,"endHours":21.503333629176097,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.503333629176097,"endHours":22.503333629176097,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.503333629176097,"endHours":23.503333629176097,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.503333629176097,"endHours":24.503333629176097,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.503333629176097,"endHours":25.503333629176097,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.503333629176097,"endHours":26.503333629176097,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.503333629176097,"endHours":27.503333629176097,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.503333629176097,"endHours":28.503333629176097,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.503333629176097,"endHours":29.503333629176097,"planetary_lord":"Mars"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.01151570384327,"eotMinutes":3.743254958787478,"ayanamsa":21.693}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"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":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Daśamī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[],"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":"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 May 16, 1845 CE · Mathurā · Vidhyamitra","description":"May 16, 1845 CE for Mathurā: Śukla Daśamī, sūryodaya 05:30, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1845-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1845-05-16","sa":"https://sa.vidhyamitra.com/city/mathura/1845-05-16","hi":"https://hi.vidhyamitra.com/city/mathura/1845-05-16","x-default":"https://vidhyamitra.com/city/mathura/1845-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:51:16.017Z","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":"2026-08-10T12:51:16.017Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:51:16.017Z","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"}}}