{"id":"vidhyamitra:city-day:mathura:1968-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-07-15","date_display":"July 15, 1968 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":1968,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440052.770833,"kali_year":5070,"ahargana":1851587.2708,"sun":{"sidereal_longitude":88.8429,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":331.2536,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.4106,"elapsed_within_tithi_degrees":2.4106},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.2536,"elapsed_within_degrees":11.2536},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.0965},"karana":{"half_tithi_index":40,"name":"Gara"},"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":1968,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440052.770833,"ahargana":1851587.2708,"kali_year":5070,"ayanamsa_lahiri":23.4135,"grahas":{"sun":{"sidereal_longitude":89.19989799999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":332.3472979999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-1.7381},"mars":{"sidereal_longitude":82.85739799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":69.11019799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":131.93189800000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":96.44789800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":2.251697999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":353.9959,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":173.9959,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1968,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440052.770833,"kali_year":5070,"ahargana":1851587.2708,"sun":{"sidereal_longitude":88.8429,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":331.2536,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.4106,"elapsed_within_tithi_degrees":2.4106},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.2536,"elapsed_within_degrees":11.2536},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.0965},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.738,"elongation":117.589},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.738,"opposition_distance":62.411}},"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":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.718293106049805,"dayLengthDisplay":"13 Hours 43 Mins 06 Secs","nightLengthDisplay":"10 Hours 16 Mins 54 Secs","moonriseLocal":"22:38","moonsetLocal":"10:37","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.270453603670908,"endHours":8.985240241927134,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.700026880183358,"endHours":12.414813518439583,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.12960015669581,"endHours":15.844386794952035,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.75660202349297,"endHours":9.213878460361297,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.12726251150009,"endHours":6.493083660994752,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957537081571258,"endHours":12.872089955307912,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7265612179413745,"endHours":4.641114091678029,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.412475873243865,"endHours":5.555666965414682,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701195702781218,"endHours":15.615748576517872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.073960071464487,"endHours":19.473960071464486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.273960071464487,"endHours":19.845555617549895,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.023960071464487,"endHours":20.773960071464487,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95753708157126,"endHours":24.872089955307914,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.555666965414682,"endHours":7.270453603670908,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.270453603670908,"endHours":8.985240241927134,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.985240241927134,"endHours":10.700026880183358,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.700026880183358,"endHours":12.414813518439583,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.12960015669581,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.12960015669581,"endHours":15.844386794952035,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.844386794952035,"endHours":17.55917343320826,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:16","startHours":17.55917343320826,"endHours":19.273960071464487,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:16","end":"20:34","startHours":19.273960071464487,"endHours":20.55917343320826,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.55917343320826,"endHours":21.844386794952037,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.844386794952037,"endHours":23.12960015669581,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.12960015669581,"endHours":24.414813518439583,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.414813518439583,"endHours":25.70002688018336,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.70002688018336,"endHours":26.985240241927134,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.985240241927134,"endHours":28.27045360367091,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.27045360367091,"endHours":29.55566696541468,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.555666965414682,"endHours":6.555666965414682,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.555666965414682,"endHours":7.555666965414682,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.555666965414682,"endHours":8.555666965414682,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.555666965414682,"endHours":9.555666965414682,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.555666965414682,"endHours":10.555666965414682,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.555666965414682,"endHours":11.555666965414682,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.555666965414682,"endHours":12.555666965414682,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.555666965414682,"endHours":13.555666965414682,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.555666965414682,"endHours":14.555666965414682,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.555666965414682,"endHours":15.555666965414682,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.555666965414682,"endHours":16.55566696541468,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55566696541468,"endHours":17.55566696541468,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55566696541468,"endHours":18.55566696541468,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55566696541468,"endHours":19.55566696541468,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55566696541468,"endHours":20.55566696541468,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55566696541468,"endHours":21.55566696541468,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55566696541468,"endHours":22.55566696541468,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55566696541468,"endHours":23.55566696541468,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55566696541468,"endHours":24.55566696541468,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55566696541468,"endHours":25.55566696541468,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55566696541468,"endHours":26.55566696541468,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55566696541468,"endHours":27.55566696541468,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55566696541468,"endHours":28.55566696541468,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55566696541468,"endHours":29.55566696541468,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"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":21.540260488975072,"eotMinutes":-5.583611106375076,"ayanamsa":23.4135}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"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":"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":[]},"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, 1968 CE · Mathurā · Vidhyamitra","description":"July 15, 1968 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:33, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/1968-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/1968-07-15","x-default":"https://vidhyamitra.com/city/mathura/1968-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:33:24.988Z","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":"2026-05-14T20:33:24.988Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:33:24.988Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}