{"id":"vidhyamitra:city-day:mathura:2016-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2016-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-08-21","date_display":"August 21, 2016 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":2016,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457621.770833,"kali_year":5118,"ahargana":1869156.2708,"sun":{"sidereal_longitude":123.6587,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":336.8704,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.2117,"elapsed_within_tithi_degrees":9.2117},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":336.8704,"elapsed_within_degrees":3.5371},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.5291},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2016,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457621.770833,"ahargana":1869156.2708,"kali_year":5118,"ayanamsa_lahiri":24.0854,"grahas":{"sun":{"sidereal_longitude":124.34113300000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":339.194733,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-1.0697},"mars":{"sidereal_longitude":223.894133,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":151.08773300000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":151.27183300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":144.608833,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":225.549033,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":143.1058,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":323.1058,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva 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":"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":2016,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457621.770833,"kali_year":5118,"ahargana":1869156.2708,"sun":{"sidereal_longitude":123.6587,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":336.8704,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.2117,"elapsed_within_tithi_degrees":9.2117},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":336.8704,"elapsed_within_degrees":3.5371},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.5291},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.07,"elongation":146.788},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.07,"opposition_distance":33.212}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":-0.832,"elongation":2.371}]},"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":"05:53","sunsetLocal":"18:51","solarNoonLocal":"12:22","dayLengthHours":12.977134028921395,"dayLengthDisplay":"12 Hours 58 Mins 38 Secs","nightLengthDisplay":"11 Hours 01 Mins 22 Secs","moonriseLocal":"20:36","moonsetLocal":"08:47","rahuKala":{"name":"Rāhu Kāla","start":"17:14","end":"18:51","startHours":17.234810149445437,"endHours":18.85695190306061,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:22","end":"13:59","startHours":12.368384888599916,"endHours":13.990526642215091,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:37","end":"17:14","startHours":15.612668395830262,"endHours":17.234810149445437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.907815814220877,"endHours":9.340386948518256,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.420531792010943,"endHours":6.766588699448846,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.935813754302535,"endHours":12.800956022897294,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:09","end":"05:01","startHours":4.149533336949698,"endHours":5.014675605544459,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:53","startHours":4.798390038395769,"endHours":5.879817874139218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.531240560086815,"endHours":15.396382828681574,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.656951903060612,"endHours":19.05695190306061,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:24","startHours":18.85695190306061,"endHours":19.397665820932335,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.60695190306061,"endHours":20.35695190306061,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.935813754302533,"endHours":24.800956022897292,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:53","end":"07:30","startHours":5.879817874139218,"endHours":7.501959627754392,"quality":"inauspicious"},{"name":"Chala","start":"07:30","end":"09:07","startHours":7.501959627754392,"endHours":9.124101381369567,"quality":"neutral"},{"name":"Labha","start":"09:07","end":"10:45","startHours":9.124101381369567,"endHours":10.746243134984741,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:22","startHours":10.746243134984741,"endHours":12.368384888599916,"quality":"auspicious"},{"name":"Kāla","start":"12:22","end":"13:59","startHours":12.368384888599916,"endHours":13.990526642215091,"quality":"inauspicious"},{"name":"Śubha","start":"13:59","end":"15:37","startHours":13.990526642215091,"endHours":15.612668395830262,"quality":"auspicious"},{"name":"Roga","start":"15:37","end":"17:14","startHours":15.612668395830262,"endHours":17.234810149445437,"quality":"inauspicious"},{"name":"Udveg","start":"17:14","end":"18:51","startHours":17.234810149445437,"endHours":18.85695190306061,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:51","end":"20:14","startHours":18.85695190306061,"endHours":20.234810149445437,"quality":"auspicious"},{"name":"Roga","start":"20:14","end":"21:37","startHours":20.234810149445437,"endHours":21.612668395830262,"quality":"inauspicious"},{"name":"Udveg","start":"21:37","end":"22:59","startHours":21.612668395830262,"endHours":22.990526642215087,"quality":"inauspicious"},{"name":"Chala","start":"22:59","end":"00:22","startHours":22.990526642215087,"endHours":24.368384888599913,"quality":"neutral"},{"name":"Labha","start":"00:22","end":"01:45","startHours":24.368384888599913,"endHours":25.746243134984738,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:07","startHours":25.746243134984738,"endHours":27.124101381369567,"quality":"auspicious"},{"name":"Kāla","start":"03:07","end":"04:30","startHours":27.124101381369567,"endHours":28.501959627754392,"quality":"inauspicious"},{"name":"Śubha","start":"04:30","end":"05:53","startHours":28.501959627754392,"endHours":29.879817874139217,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.879817874139218,"endHours":6.879817874139218,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.879817874139218,"endHours":7.879817874139218,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.879817874139218,"endHours":8.879817874139217,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.879817874139217,"endHours":9.879817874139217,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.879817874139217,"endHours":10.879817874139217,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.879817874139217,"endHours":11.879817874139217,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.879817874139217,"endHours":12.879817874139217,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.879817874139217,"endHours":13.879817874139217,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.879817874139217,"endHours":14.879817874139217,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.879817874139217,"endHours":15.879817874139217,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.879817874139217,"endHours":16.879817874139217,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.879817874139217,"endHours":17.879817874139217,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.879817874139217,"endHours":18.879817874139217,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.879817874139217,"endHours":19.879817874139217,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.879817874139217,"endHours":20.879817874139217,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.879817874139217,"endHours":21.879817874139217,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.879817874139217,"endHours":22.879817874139217,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.879817874139217,"endHours":23.879817874139217,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.879817874139217,"endHours":24.879817874139217,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.879817874139217,"endHours":25.879817874139217,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.879817874139217,"endHours":26.879817874139217,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.879817874139217,"endHours":27.879817874139217,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.879817874139217,"endHours":28.879817874139217,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.879817874139217,"endHours":29.879817874139217,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.0197768145037,"eotMinutes":-2.7978933159948465,"ayanamsa":24.0854}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 21, 2016 CE · Mathurā · Vidhyamitra","description":"August 21, 2016 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:53, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2016-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2016-08-21","sa":"https://sa.vidhyamitra.com/city/mathura/2016-08-21","hi":"https://hi.vidhyamitra.com/city/mathura/2016-08-21","x-default":"https://vidhyamitra.com/city/mathura/2016-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:39:18.949Z","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":"2026-05-14T13:39:18.949Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:39:18.949Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}