{"id":"vidhyamitra:city-day:mathura:2087-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-07-30","date_display":"July 30, 2087 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":2087,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483531.770833,"kali_year":5189,"ahargana":1895066.2708,"sun":{"sidereal_longitude":101.3693,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":106.7698,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.4005,"elapsed_within_tithi_degrees":5.4005},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.7698,"elapsed_within_degrees":0.1031},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.139},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2087,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483531.770833,"ahargana":1895066.2708,"kali_year":5189,"ayanamsa_lahiri":25.0764,"grahas":{"sun":{"sidereal_longitude":102.09818100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":105.55108100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-4.3754},"mars":{"sidereal_longitude":141.89678099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":101.51368100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":142.246581,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":94.12688100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":17.364081,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.2693,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.2693,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483531.770833,"kali_year":5189,"ahargana":1895066.2708,"sun":{"sidereal_longitude":101.3693,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":106.7698,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.4005,"elapsed_within_tithi_degrees":5.4005},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.7698,"elapsed_within_degrees":0.1031},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.139},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.375,"elongation":5.401},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.375,"opposition_distance":174.599}},"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":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:25","dayLengthHours":13.469422861917247,"dayLengthDisplay":"13 Hours 28 Mins 10 Secs","nightLengthDisplay":"10 Hours 31 Mins 50 Secs","moonriseLocal":"05:58","moonsetLocal":"19:20","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:06","startHours":12.423664761946338,"endHours":14.107342619685992,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:22","end":"09:03","startHours":7.372631188727369,"endHours":9.056309046467025,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:44","end":"12:25","startHours":10.739986904206681,"endHours":12.423664761946338,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.83181866543507,"endHours":9.28079942749898,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.250179283567599,"endHours":6.609363893218726,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.97468399988243,"endHours":12.872645524010245,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:47","startHours":3.8930302827320804,"endHours":4.790991806859897,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.566501425827942,"endHours":5.688953330987713,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.668568572265878,"endHours":15.566530096393695,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.95837619290496,"endHours":19.35837619290496,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:43","startHours":19.15837619290496,"endHours":19.719602145484846,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.90837619290496,"endHours":20.65837619290496,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97468399988243,"endHours":24.872645524010245,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:41","end":"07:22","startHours":5.688953330987713,"endHours":7.372631188727369,"quality":"auspicious"},{"name":"Amṛta","start":"07:22","end":"09:03","startHours":7.372631188727369,"endHours":9.056309046467025,"quality":"auspicious"},{"name":"Kāla","start":"09:03","end":"10:44","startHours":9.056309046467025,"endHours":10.739986904206681,"quality":"inauspicious"},{"name":"Śubha","start":"10:44","end":"12:25","startHours":10.739986904206681,"endHours":12.423664761946338,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:06","startHours":12.423664761946338,"endHours":14.107342619685992,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:47","startHours":14.107342619685992,"endHours":15.791020477425649,"quality":"inauspicious"},{"name":"Chala","start":"15:47","end":"17:28","startHours":15.791020477425649,"endHours":17.474698335165304,"quality":"neutral"},{"name":"Labha","start":"17:28","end":"19:10","startHours":17.474698335165304,"endHours":19.15837619290496,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:10","end":"20:28","startHours":19.15837619290496,"endHours":20.474698335165304,"quality":"inauspicious"},{"name":"Chala","start":"20:28","end":"21:47","startHours":20.474698335165304,"endHours":21.791020477425647,"quality":"neutral"},{"name":"Labha","start":"21:47","end":"23:06","startHours":21.791020477425647,"endHours":23.107342619685994,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:25","startHours":23.107342619685994,"endHours":24.423664761946338,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:44","startHours":24.423664761946338,"endHours":25.73998690420668,"quality":"inauspicious"},{"name":"Śubha","start":"01:44","end":"03:03","startHours":25.73998690420668,"endHours":27.056309046467025,"quality":"auspicious"},{"name":"Roga","start":"03:03","end":"04:22","startHours":27.056309046467025,"endHours":28.372631188727368,"quality":"inauspicious"},{"name":"Udveg","start":"04:22","end":"05:41","startHours":28.372631188727368,"endHours":29.688953330987715,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.688953330987713,"endHours":6.688953330987713,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.688953330987713,"endHours":7.688953330987713,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.688953330987713,"endHours":8.688953330987713,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.688953330987713,"endHours":9.688953330987713,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.688953330987713,"endHours":10.688953330987713,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.688953330987713,"endHours":11.688953330987713,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.688953330987713,"endHours":12.688953330987713,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.688953330987713,"endHours":13.688953330987713,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.688953330987713,"endHours":14.688953330987713,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.688953330987713,"endHours":15.688953330987713,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.688953330987713,"endHours":16.688953330987715,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.688953330987715,"endHours":17.688953330987715,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.688953330987715,"endHours":18.688953330987715,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.688953330987715,"endHours":19.688953330987715,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.688953330987715,"endHours":20.688953330987715,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.688953330987715,"endHours":21.688953330987715,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.688953330987715,"endHours":22.688953330987715,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.688953330987715,"endHours":23.688953330987715,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.688953330987715,"endHours":24.688953330987715,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.688953330987715,"endHours":25.688953330987715,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.688953330987715,"endHours":26.688953330987715,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.688953330987715,"endHours":27.688953330987715,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.688953330987715,"endHours":28.688953330987715,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.688953330987715,"endHours":29.688953330987715,"planetary_lord":"Sun"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","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":18.476305708834005,"eotMinutes":-6.1146857167802535,"ayanamsa":25.0764}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 July 30, 2087 CE · Mathurā · Vidhyamitra","description":"July 30, 2087 CE for Mathurā: Śukla Pratipada, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-07-30","sa":"https://sa.vidhyamitra.com/city/mathura/2087-07-30","hi":"https://hi.vidhyamitra.com/city/mathura/2087-07-30","x-default":"https://vidhyamitra.com/city/mathura/2087-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:45:29.884Z","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":"2026-05-14T12:45:29.884Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:45:29.884Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}