{"id":"vidhyamitra:city-day:mathura:2152-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2152-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2152-09-16","date_display":"September 16, 2152 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":2152,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507320.770833,"kali_year":5254,"ahargana":1918855.2708,"sun":{"sidereal_longitude":146.627,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":352.5122,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8853,"elapsed_within_tithi_degrees":1.8853},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.5122,"elapsed_within_degrees":5.8456},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.1392},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2152,"month":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507320.770833,"ahargana":1918855.2708,"kali_year":5254,"ayanamsa_lahiri":25.9862,"grahas":{"sun":{"sidereal_longitude":147.723366,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":350.864166,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.7253},"mars":{"sidereal_longitude":83.80586600000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":170.50556600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":318.842266,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":181.64816599999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":99.099966,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":29.8136,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":209.8136,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"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":2152,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507320.770833,"kali_year":5254,"ahargana":1918855.2708,"sun":{"sidereal_longitude":146.627,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":352.5122,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8853,"elapsed_within_tithi_degrees":1.8853},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.5122,"elapsed_within_degrees":5.8456},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.1392},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.725,"elongation":154.115},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.725,"opposition_distance":25.885}},"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":"06:04","sunsetLocal":"18:22","solarNoonLocal":"12:13","dayLengthHours":12.298811623362775,"dayLengthDisplay":"12 Hours 17 Mins 56 Secs","nightLengthDisplay":"11 Hours 42 Mins 04 Secs","moonriseLocal":"19:29","moonsetLocal":"08:03","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:41","startHours":9.149245243647162,"endHours":10.68659669656751,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:46","end":"15:18","startHours":13.761299602408203,"endHours":15.29865105532855,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:04","end":"07:37","startHours":6.074542337806468,"endHours":7.611893790726815,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.94426504992445,"endHours":9.354225437369875,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:55","startHours":6.586992822113251,"endHours":6.914961132069592,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:38","startHours":11.81398776204243,"endHours":12.63390853693328,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:15","startHours":4.434700788024765,"endHours":5.2546215629156166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:04","startHours":5.049641369192903,"endHours":6.074542337806468,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.273750086714985,"endHours":15.093670861605837,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.173353961169244,"endHours":18.573353961169243,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:53","startHours":18.373353961169244,"endHours":18.885804445476026,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.123353961169244,"endHours":19.873353961169244,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:38","startHours":23.813987762042427,"endHours":24.63390853693328,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:04","end":"07:37","startHours":6.074542337806468,"endHours":7.611893790726815,"quality":"inauspicious"},{"name":"Śubha","start":"07:37","end":"09:09","startHours":7.611893790726815,"endHours":9.149245243647162,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:41","startHours":9.149245243647162,"endHours":10.68659669656751,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:13","startHours":10.68659669656751,"endHours":12.223948149487857,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:46","startHours":12.223948149487857,"endHours":13.761299602408203,"quality":"neutral"},{"name":"Labha","start":"13:46","end":"15:18","startHours":13.761299602408203,"endHours":15.29865105532855,"quality":"auspicious"},{"name":"Amṛta","start":"15:18","end":"16:50","startHours":15.29865105532855,"endHours":16.836002508248896,"quality":"auspicious"},{"name":"Kāla","start":"16:50","end":"18:22","startHours":16.836002508248896,"endHours":18.373353961169244,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:22","end":"19:50","startHours":18.373353961169244,"endHours":19.836002508248896,"quality":"auspicious"},{"name":"Amṛta","start":"19:50","end":"21:18","startHours":19.836002508248896,"endHours":21.29865105532855,"quality":"auspicious"},{"name":"Kāla","start":"21:18","end":"22:46","startHours":21.29865105532855,"endHours":22.7612996024082,"quality":"inauspicious"},{"name":"Śubha","start":"22:46","end":"00:13","startHours":22.7612996024082,"endHours":24.223948149487857,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:41","startHours":24.223948149487857,"endHours":25.68659669656751,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"03:09","startHours":25.68659669656751,"endHours":27.14924524364716,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:37","startHours":27.14924524364716,"endHours":28.611893790726818,"quality":"neutral"},{"name":"Labha","start":"04:37","end":"06:04","startHours":28.611893790726818,"endHours":30.07454233780647,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.074542337806468,"endHours":7.074542337806468,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.074542337806468,"endHours":8.074542337806468,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.074542337806468,"endHours":9.074542337806468,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.074542337806468,"endHours":10.074542337806468,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.074542337806468,"endHours":11.074542337806468,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.074542337806468,"endHours":12.074542337806468,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.074542337806468,"endHours":13.074542337806468,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.074542337806468,"endHours":14.074542337806468,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.074542337806468,"endHours":15.074542337806468,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.074542337806468,"endHours":16.07454233780647,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.07454233780647,"endHours":17.07454233780647,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.07454233780647,"endHours":18.07454233780647,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.07454233780647,"endHours":19.07454233780647,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.07454233780647,"endHours":20.07454233780647,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.07454233780647,"endHours":21.07454233780647,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.07454233780647,"endHours":22.07454233780647,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.07454233780647,"endHours":23.07454233780647,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.07454233780647,"endHours":24.07454233780647,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.07454233780647,"endHours":25.07454233780647,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.07454233780647,"endHours":26.07454233780647,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.07454233780647,"endHours":27.07454233780647,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.07454233780647,"endHours":28.07454233780647,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.07454233780647,"endHours":29.07454233780647,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.07454233780647,"endHours":30.07454233780647,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.4976776551347046,"eotMinutes":5.868311030728706,"ayanamsa":25.9862}},"calendars":{"vikram_samvat":2209,"vikram_samvatsara":"Krodhana","saka_samvat":2074,"saka_samvatsara":"Paridhāvi","bengali_samvat":1559,"malayalam_era":1328,"nanakshahi_year":683,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Tṛtīyā · Vikram 2209 Krodhana · Śaka 2074 Paridhāvi"},"festivals":[],"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":"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 September 16, 2152 CE · Mathurā · Vidhyamitra","description":"September 16, 2152 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 06:04, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2152-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2152-09-16","sa":"https://sa.vidhyamitra.com/city/mathura/2152-09-16","hi":"https://hi.vidhyamitra.com/city/mathura/2152-09-16","x-default":"https://vidhyamitra.com/city/mathura/2152-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:58:05.847Z","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":"2026-08-10T10:58:05.847Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:58:05.847Z","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"}}}