{"id":"vidhyamitra:city-day:mathura:2102-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2102-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-08-07","date_display":"August 7, 2102 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":2102,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489017.770833,"kali_year":5204,"ahargana":1900552.2708,"sun":{"sidereal_longitude":108.1378,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":29.3453,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.2075,"elapsed_within_tithi_degrees":5.2075},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.3453,"elapsed_within_degrees":2.6786},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.4831},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2102,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489017.770833,"ahargana":1900552.2708,"kali_year":5204,"ayanamsa_lahiri":25.2862,"grahas":{"sun":{"sidereal_longitude":108.94537500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":32.83387499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":4.2348},"mars":{"sidereal_longitude":141.27387499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":134.77027499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":228.63817500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":92.95037500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":197.61487499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":279.5946,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":99.5946,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"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":2102,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489017.770833,"kali_year":5204,"ahargana":1900552.2708,"sun":{"sidereal_longitude":108.1378,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":29.3453,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.2075,"elapsed_within_tithi_degrees":5.2075},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.3453,"elapsed_within_degrees":2.6786},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.4831},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.235,"elongation":78.793},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.235,"opposition_distance":101.207}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":0.292},{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-1.321,"elongation":1.503}]},"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":"05:45","sunsetLocal":"19:04","solarNoonLocal":"12:25","dayLengthHours":13.319154523705375,"dayLengthDisplay":"13 Hours 19 Mins 09 Secs","nightLengthDisplay":"10 Hours 40 Mins 51 Secs","moonriseLocal":"00:34","moonsetLocal":"14:06","rahuKala":{"name":"Rāhu Kāla","start":"07:25","end":"09:05","startHours":7.418335317195911,"endHours":9.083229632659084,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.748123948122256,"endHours":12.413018263585428,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:05","end":"15:45","startHours":14.0779125790486,"endHours":15.74280689451177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.861243723930661,"endHours":9.305215541387506,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.3084057735537975,"endHours":6.663583227519275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.96904644612858,"endHours":12.856990081042273,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.977553731905356,"endHours":4.865497366819048,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.643511458090625,"endHours":5.75344100173274,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.632877350869656,"endHours":15.520820985783347,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.872595525438115,"endHours":19.272595525438113,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.072595525438114,"endHours":19.627560297259173,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.822595525438114,"endHours":20.572595525438114,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.969046446128583,"endHours":24.856990081042273,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:25","startHours":5.75344100173274,"endHours":7.418335317195911,"quality":"auspicious"},{"name":"Kāla","start":"07:25","end":"09:05","startHours":7.418335317195911,"endHours":9.083229632659084,"quality":"inauspicious"},{"name":"Śubha","start":"09:05","end":"10:45","startHours":9.083229632659084,"endHours":10.748123948122256,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.748123948122256,"endHours":12.413018263585428,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:05","startHours":12.413018263585428,"endHours":14.0779125790486,"quality":"inauspicious"},{"name":"Chala","start":"14:05","end":"15:45","startHours":14.0779125790486,"endHours":15.74280689451177,"quality":"neutral"},{"name":"Labha","start":"15:45","end":"17:24","startHours":15.74280689451177,"endHours":17.40770120997494,"quality":"auspicious"},{"name":"Amṛta","start":"17:24","end":"19:04","startHours":17.40770120997494,"endHours":19.072595525438114,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:04","end":"20:24","startHours":19.072595525438114,"endHours":20.40770120997494,"quality":"neutral"},{"name":"Labha","start":"20:24","end":"21:45","startHours":20.40770120997494,"endHours":21.74280689451177,"quality":"auspicious"},{"name":"Amṛta","start":"21:45","end":"23:05","startHours":21.74280689451177,"endHours":23.0779125790486,"quality":"auspicious"},{"name":"Kāla","start":"23:05","end":"00:25","startHours":23.0779125790486,"endHours":24.41301826358543,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.41301826358543,"endHours":25.748123948122256,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:05","startHours":25.748123948122256,"endHours":27.083229632659084,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:25","startHours":27.083229632659084,"endHours":28.41833531719591,"quality":"inauspicious"},{"name":"Chala","start":"04:25","end":"05:45","startHours":28.41833531719591,"endHours":29.75344100173274,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.75344100173274,"endHours":6.75344100173274,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.75344100173274,"endHours":7.75344100173274,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.75344100173274,"endHours":8.753441001732739,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.753441001732739,"endHours":9.753441001732739,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.753441001732739,"endHours":10.753441001732739,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.753441001732739,"endHours":11.753441001732739,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.753441001732739,"endHours":12.753441001732739,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.753441001732739,"endHours":13.753441001732739,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.753441001732739,"endHours":14.753441001732739,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.753441001732739,"endHours":15.753441001732739,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.753441001732739,"endHours":16.75344100173274,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.75344100173274,"endHours":17.75344100173274,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.75344100173274,"endHours":18.75344100173274,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.75344100173274,"endHours":19.75344100173274,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.75344100173274,"endHours":20.75344100173274,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.75344100173274,"endHours":21.75344100173274,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.75344100173274,"endHours":22.75344100173274,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.75344100173274,"endHours":23.75344100173274,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.75344100173274,"endHours":24.75344100173274,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.75344100173274,"endHours":25.75344100173274,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.75344100173274,"endHours":26.75344100173274,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.75344100173274,"endHours":27.75344100173274,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.75344100173274,"endHours":28.75344100173274,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.75344100173274,"endHours":29.75344100173274,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"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":16.55799791333643,"eotMinutes":-5.475895815125568,"ayanamsa":25.2862}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 7, 2102 CE · Mathurā · Vidhyamitra","description":"August 7, 2102 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:45, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2102-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2102-08-07","sa":"https://sa.vidhyamitra.com/city/mathura/2102-08-07","hi":"https://hi.vidhyamitra.com/city/mathura/2102-08-07","x-default":"https://vidhyamitra.com/city/mathura/2102-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:30:33.210Z","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":"2026-05-14T15:30:33.210Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:30:33.210Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}