{"id":"vidhyamitra:city-day:mathura:2015-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-07-15","date_display":"July 15, 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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457218.770833,"kali_year":5117,"ahargana":1868753.2708,"sun":{"sidereal_longitude":87.7427,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":76.9537,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.2109,"elapsed_within_tithi_degrees":1.2109},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.9537,"elapsed_within_degrees":10.287},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.6964},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2015,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457218.770833,"ahargana":1868753.2708,"kali_year":5117,"ayanamsa_lahiri":24.07,"grahas":{"sun":{"sidereal_longitude":88.20553100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":76.09703100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-4.4957},"mars":{"sidereal_longitude":79.40933100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":77.770331,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":119.44633099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":124.55403100000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":214.25943099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":164.4586,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":344.4586,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457218.770833,"kali_year":5117,"ahargana":1868753.2708,"sun":{"sidereal_longitude":87.7427,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":76.9537,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.2109,"elapsed_within_tithi_degrees":1.2109},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.9537,"elapsed_within_degrees":10.287},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.6964},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":10.789},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":169.211}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.722886317025779,"dayLengthDisplay":"13 Hours 43 Mins 22 Secs","nightLengthDisplay":"10 Hours 16 Mins 38 Secs","moonriseLocal":"04:42","moonsetLocal":"18:31","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.130174308067808,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:59","startHours":7.268731149554917,"endHours":8.98409193918314,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.699452728811362,"endHours":12.414813518439583,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.755377167232709,"endHours":9.212806711133569,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:29","startHours":6.125157289802769,"endHours":6.491100924923456,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957383974538725,"endHours":12.872243062340445,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7236521843232575,"endHours":4.638511272124976,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.409796500174547,"endHours":5.553370359926695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70196123794388,"endHours":15.616820325745598,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.076256676952475,"endHours":19.476256676952474,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.276256676952475,"endHours":19.848043606828547,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.026256676952475,"endHours":20.776256676952475,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95738397453873,"endHours":24.872243062340445,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:33","end":"07:16","startHours":5.553370359926695,"endHours":7.268731149554917,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:59","startHours":7.268731149554917,"endHours":8.98409193918314,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:42","startHours":8.98409193918314,"endHours":10.699452728811362,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.699452728811362,"endHours":12.414813518439583,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.130174308067808,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.130174308067808,"endHours":15.845535097696029,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.845535097696029,"endHours":17.56089588732425,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.56089588732425,"endHours":19.276256676952475,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.276256676952475,"endHours":20.560895887324254,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.560895887324254,"endHours":21.84553509769603,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.84553509769603,"endHours":23.130174308067808,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.130174308067808,"endHours":24.414813518439587,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.414813518439587,"endHours":25.699452728811362,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:59","startHours":25.699452728811362,"endHours":26.98409193918314,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:16","startHours":26.98409193918314,"endHours":28.268731149554917,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:33","startHours":28.268731149554917,"endHours":29.553370359926696,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.553370359926695,"endHours":6.553370359926695,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.553370359926695,"endHours":7.553370359926695,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.553370359926695,"endHours":8.553370359926696,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.553370359926696,"endHours":9.553370359926696,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.553370359926696,"endHours":10.553370359926696,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.553370359926696,"endHours":11.553370359926696,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.553370359926696,"endHours":12.553370359926696,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.553370359926696,"endHours":13.553370359926696,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.553370359926696,"endHours":14.553370359926696,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.553370359926696,"endHours":15.553370359926696,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.553370359926696,"endHours":16.553370359926696,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.553370359926696,"endHours":17.553370359926696,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.553370359926696,"endHours":18.553370359926696,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.553370359926696,"endHours":19.553370359926696,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.553370359926696,"endHours":20.553370359926696,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.553370359926696,"endHours":21.553370359926696,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.553370359926696,"endHours":22.553370359926696,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.553370359926696,"endHours":23.553370359926696,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.553370359926696,"endHours":24.553370359926696,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.553370359926696,"endHours":25.553370359926696,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.553370359926696,"endHours":26.553370359926696,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.553370359926696,"endHours":27.553370359926696,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.553370359926696,"endHours":28.553370359926696,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.553370359926696,"endHours":29.553370359926696,"planetary_lord":"Sun"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.595427977957666,"eotMinutes":-5.583611106375076,"ayanamsa":24.07}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Amāvasyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 July 15, 2015 CE · Mathurā · Vidhyamitra","description":"July 15, 2015 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/2015-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/2015-07-15","x-default":"https://vidhyamitra.com/city/mathura/2015-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:41:20.050Z","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":"2026-05-14T21:41:20.050Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:41:20.050Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}