{"id":"vidhyamitra:city-day:mathura:2015-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-08-21","date_display":"August 21, 2015 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":2015,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457255.770833,"kali_year":5117,"ahargana":1868790.2708,"sun":{"sidereal_longitude":122.9485,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":197.1304,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.1819,"elapsed_within_tithi_degrees":2.1819},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.1304,"elapsed_within_degrees":10.4637},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.0788},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2015,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457255.770833,"ahargana":1868790.2708,"kali_year":5117,"ayanamsa_lahiri":24.0714,"grahas":{"sun":{"sidereal_longitude":123.625517,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":193.635217,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":2.5556},"mars":{"sidereal_longitude":103.52151700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":146.828017,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":127.24981700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":115.09121700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":214.27601700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":162.4982,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":342.4982,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457255.770833,"kali_year":5117,"ahargana":1868790.2708,"sun":{"sidereal_longitude":122.9485,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":197.1304,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.1819,"elapsed_within_tithi_degrees":2.1819},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.1304,"elapsed_within_degrees":10.4637},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.0788},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.556,"elongation":74.182},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.556,"opposition_distance":105.818}},"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":"05:52","sunsetLocal":"18:52","solarNoonLocal":"12:22","dayLengthHours":12.995697755883217,"dayLengthDisplay":"12 Hours 59 Mins 45 Secs","nightLengthDisplay":"11 Hours 00 Mins 15 Secs","moonriseLocal":"11:29","moonsetLocal":"22:35","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:22","startHours":10.743922669114513,"endHours":12.368384888599914,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:37","end":"17:15","startHours":15.61730932757072,"endHours":17.24177154705612,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:30","end":"09:07","startHours":7.4949982301437075,"endHours":9.11946044962911,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.902865487031056,"endHours":9.336055412227164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.41202341715344,"endHours":6.758575357310326,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.935194963403807,"endHours":12.801574813796021,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.1377763098738765,"endHours":5.004156160266091,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.787561197668038,"endHours":5.870536010658306,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.53433451458045,"endHours":15.400714364972664,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.666233766541524,"endHours":19.066233766541522,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.866233766541523,"endHours":19.407721173036656,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.616233766541523,"endHours":20.366233766541523,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.935194963403806,"endHours":24.80157481379602,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:52","end":"07:30","startHours":5.870536010658306,"endHours":7.4949982301437075,"quality":"neutral"},{"name":"Labha","start":"07:30","end":"09:07","startHours":7.4949982301437075,"endHours":9.11946044962911,"quality":"auspicious"},{"name":"Amṛta","start":"09:07","end":"10:45","startHours":9.11946044962911,"endHours":10.743922669114513,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:22","startHours":10.743922669114513,"endHours":12.368384888599914,"quality":"inauspicious"},{"name":"Śubha","start":"12:22","end":"14:00","startHours":12.368384888599914,"endHours":13.992847108085316,"quality":"auspicious"},{"name":"Roga","start":"14:00","end":"15:37","startHours":13.992847108085316,"endHours":15.61730932757072,"quality":"inauspicious"},{"name":"Udveg","start":"15:37","end":"17:15","startHours":15.61730932757072,"endHours":17.24177154705612,"quality":"inauspicious"},{"name":"Chala","start":"17:15","end":"18:52","startHours":17.24177154705612,"endHours":18.866233766541523,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:52","end":"20:15","startHours":18.866233766541523,"endHours":20.24177154705612,"quality":"inauspicious"},{"name":"Udveg","start":"20:15","end":"21:37","startHours":20.24177154705612,"endHours":21.61730932757072,"quality":"inauspicious"},{"name":"Chala","start":"21:37","end":"23:00","startHours":21.61730932757072,"endHours":22.992847108085314,"quality":"neutral"},{"name":"Labha","start":"23:00","end":"00:22","startHours":22.992847108085314,"endHours":24.368384888599913,"quality":"auspicious"},{"name":"Amṛta","start":"00:22","end":"01:45","startHours":24.368384888599913,"endHours":25.74392266911451,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:07","startHours":25.74392266911451,"endHours":27.11946044962911,"quality":"inauspicious"},{"name":"Śubha","start":"03:07","end":"04:30","startHours":27.11946044962911,"endHours":28.494998230143707,"quality":"auspicious"},{"name":"Roga","start":"04:30","end":"05:52","startHours":28.494998230143707,"endHours":29.870536010658306,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.870536010658306,"endHours":6.870536010658306,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.870536010658306,"endHours":7.870536010658306,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.870536010658306,"endHours":8.870536010658306,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.870536010658306,"endHours":9.870536010658306,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.870536010658306,"endHours":10.870536010658306,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.870536010658306,"endHours":11.870536010658306,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.870536010658306,"endHours":12.870536010658306,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.870536010658306,"endHours":13.870536010658306,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.870536010658306,"endHours":14.870536010658306,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.870536010658306,"endHours":15.870536010658306,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.870536010658306,"endHours":16.870536010658306,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.870536010658306,"endHours":17.870536010658306,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.870536010658306,"endHours":18.870536010658306,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.870536010658306,"endHours":19.870536010658306,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.870536010658306,"endHours":20.870536010658306,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.870536010658306,"endHours":21.870536010658306,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.870536010658306,"endHours":22.870536010658306,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.870536010658306,"endHours":23.870536010658306,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.870536010658306,"endHours":24.870536010658306,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.870536010658306,"endHours":25.870536010658306,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.870536010658306,"endHours":26.870536010658306,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.870536010658306,"endHours":27.870536010658306,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.870536010658306,"endHours":28.870536010658306,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.870536010658306,"endHours":29.870536010658306,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":12.271676226411035,"eotMinutes":-2.7978933159948465,"ayanamsa":24.0714}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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":"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 August 21, 2015 CE · Mathurā · Vidhyamitra","description":"August 21, 2015 CE for Mathurā: Śukla Saptamī, sūryodaya 05:52, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-08-21","sa":"https://sa.vidhyamitra.com/city/mathura/2015-08-21","hi":"https://hi.vidhyamitra.com/city/mathura/2015-08-21","x-default":"https://vidhyamitra.com/city/mathura/2015-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:55:14.052Z","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":"2026-05-14T15:55:14.052Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:55:14.052Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}