{"id":"vidhyamitra:city-day:mathura:2064-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2064-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-08-16","date_display":"August 16, 2064 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":2064,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475148.770833,"kali_year":5166,"ahargana":1886683.2708,"sun":{"sidereal_longitude":118.4706,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":161.3204,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.8498,"elapsed_within_tithi_degrees":6.8498},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.3204,"elapsed_within_degrees":1.3204},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.791},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2064,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475148.770833,"ahargana":1886683.2708,"kali_year":5166,"ayanamsa_lahiri":24.7558,"grahas":{"sun":{"sidereal_longitude":119.24417300000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":164.67677300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-3.283},"mars":{"sidereal_longitude":109.92547300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":107.60477300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":163.716273,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":141.06287299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":100.85547299999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.441,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.441,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2064,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475148.770833,"kali_year":5166,"ahargana":1886683.2708,"sun":{"sidereal_longitude":118.4706,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":161.3204,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.8498,"elapsed_within_tithi_degrees":6.8498},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.3204,"elapsed_within_degrees":1.3204},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.791},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.283,"elongation":42.85},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.283,"opposition_distance":137.15}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-1.293,"opposition_distance":1.645},{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":-0.286,"elongation":2.644}]},"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":"05:51","sunsetLocal":"18:56","solarNoonLocal":"12:23","dayLengthHours":13.088346445573073,"dayLengthDisplay":"13 Hours 05 Mins 18 Secs","nightLengthDisplay":"10 Hours 54 Mins 42 Secs","moonriseLocal":"09:30","moonsetLocal":"21:20","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:45","startHours":9.115830981892273,"endHours":10.751874287588906,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:40","startHours":14.023960898982175,"endHours":15.66000420467881,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:51","end":"07:29","startHours":5.843744370499004,"endHours":7.479787676195638,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.897691874466055,"endHours":9.333970089318491,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.389092139064549,"endHours":6.738114710946498,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.951639378433104,"endHours":12.824195808137976,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.098631511089261,"endHours":4.971187940794133,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:51","startHours":4.753048833367915,"endHours":5.843744370499004,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.56930866754772,"endHours":15.441865097252592,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.732090816072077,"endHours":19.132090816072076,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:29","startHours":18.932090816072076,"endHours":19.47743858463762,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.682090816072076,"endHours":20.432090816072076,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.951639378433104,"endHours":24.824195808137976,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:51","end":"07:29","startHours":5.843744370499004,"endHours":7.479787676195638,"quality":"inauspicious"},{"name":"Śubha","start":"07:29","end":"09:07","startHours":7.479787676195638,"endHours":9.115830981892273,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:45","startHours":9.115830981892273,"endHours":10.751874287588906,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:23","startHours":10.751874287588906,"endHours":12.38791759328554,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:01","startHours":12.38791759328554,"endHours":14.023960898982175,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:40","startHours":14.023960898982175,"endHours":15.66000420467881,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:18","startHours":15.66000420467881,"endHours":17.29604751037544,"quality":"auspicious"},{"name":"Kāla","start":"17:18","end":"18:56","startHours":17.29604751037544,"endHours":18.932090816072076,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:56","end":"20:18","startHours":18.932090816072076,"endHours":20.29604751037544,"quality":"auspicious"},{"name":"Amṛta","start":"20:18","end":"21:40","startHours":20.29604751037544,"endHours":21.660004204678806,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"23:01","startHours":21.660004204678806,"endHours":23.023960898982175,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:23","startHours":23.023960898982175,"endHours":24.38791759328554,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:45","startHours":24.38791759328554,"endHours":25.751874287588905,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:07","startHours":25.751874287588905,"endHours":27.115830981892273,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:29","startHours":27.115830981892273,"endHours":28.479787676195638,"quality":"neutral"},{"name":"Labha","start":"04:29","end":"05:51","startHours":28.479787676195638,"endHours":29.843744370499003,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.843744370499004,"endHours":6.843744370499004,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.843744370499004,"endHours":7.843744370499004,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.843744370499004,"endHours":8.843744370499003,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.843744370499003,"endHours":9.843744370499003,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.843744370499003,"endHours":10.843744370499003,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.843744370499003,"endHours":11.843744370499003,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.843744370499003,"endHours":12.843744370499003,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.843744370499003,"endHours":13.843744370499003,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.843744370499003,"endHours":14.843744370499003,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.843744370499003,"endHours":15.843744370499003,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.843744370499003,"endHours":16.843744370499003,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.843744370499003,"endHours":17.843744370499003,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.843744370499003,"endHours":18.843744370499003,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.843744370499003,"endHours":19.843744370499003,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.843744370499003,"endHours":20.843744370499003,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.843744370499003,"endHours":21.843744370499003,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.843744370499003,"endHours":22.843744370499003,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.843744370499003,"endHours":23.843744370499003,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.843744370499003,"endHours":24.843744370499003,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.843744370499003,"endHours":25.843744370499003,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.843744370499003,"endHours":26.843744370499003,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.843744370499003,"endHours":27.843744370499003,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.843744370499003,"endHours":28.843744370499003,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.843744370499003,"endHours":29.843744370499003,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":13.519802936510768,"eotMinutes":-3.969855597132357,"ayanamsa":24.7558}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"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":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 August 16, 2064 CE · Mathurā · Vidhyamitra","description":"August 16, 2064 CE for Mathurā: Śukla Caturthī, sūryodaya 05:51, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2064-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2064-08-16","sa":"https://sa.vidhyamitra.com/city/mathura/2064-08-16","hi":"https://hi.vidhyamitra.com/city/mathura/2064-08-16","x-default":"https://vidhyamitra.com/city/mathura/2064-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:36:23.043Z","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":"2026-05-14T19:36:23.043Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:36:23.043Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}