{"id":"vidhyamitra:city-day:mathura:1968-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-05-13","date_display":"May 13, 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":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439989.770833,"kali_year":5070,"ahargana":1851524.2708,"sun":{"sidereal_longitude":28.9977,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":215.4729,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.4752,"elapsed_within_tithi_degrees":6.4752},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.4729,"elapsed_within_degrees":2.1396},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.4706},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2439989.770833,"ahargana":1851524.2708,"kali_year":5070,"ayanamsa_lahiri":23.4111,"grahas":{"sun":{"sidereal_longitude":28.932005000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":216.149005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-2.7773},"mars":{"sidereal_longitude":40.14050500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":48.08950500000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":123.56060500000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":19.035705000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":357.140505,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.334,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.334,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1968,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439989.770833,"kali_year":5070,"ahargana":1851524.2708,"sun":{"sidereal_longitude":28.9977,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":215.4729,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.4752,"elapsed_within_tithi_degrees":6.4752},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.4729,"elapsed_within_degrees":2.1396},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.4706},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.777,"elongation":173.525},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.777,"opposition_distance":6.475}},"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":"05:32","sunsetLocal":"18:59","solarNoonLocal":"12:16","dayLengthHours":13.459681454346473,"dayLengthDisplay":"13 Hours 27 Mins 35 Secs","nightLengthDisplay":"10 Hours 32 Mins 25 Secs","moonriseLocal":"19:25","moonsetLocal":"06:03","rahuKala":{"name":"Rāhu Kāla","start":"07:13","end":"08:54","startHours":7.211815475560801,"endHours":8.894275657354111,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:16","startHours":10.57673583914742,"endHours":12.259196020940728,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:37","startHours":13.941656202734038,"endHours":15.624116384527348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.669947633115003,"endHours":9.118603681593218,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.090175354365262,"endHours":6.449100193147834,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.810539972462513,"endHours":12.707852069418943,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7347310998546286,"endHours":4.63204319681106,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.407715172571953,"endHours":5.529355293767492,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.502476263331808,"endHours":15.39978836028824,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.789036748113965,"endHours":19.189036748113963,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:33","startHours":18.989036748113964,"endHours":19.549856808711734,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.739036748113964,"endHours":20.489036748113964,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.81053997246251,"endHours":24.707852069418944,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:32","end":"07:13","startHours":5.529355293767492,"endHours":7.211815475560801,"quality":"auspicious"},{"name":"Kāla","start":"07:13","end":"08:54","startHours":7.211815475560801,"endHours":8.894275657354111,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:35","startHours":8.894275657354111,"endHours":10.57673583914742,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:16","startHours":10.57673583914742,"endHours":12.259196020940728,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:56","startHours":12.259196020940728,"endHours":13.941656202734038,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:37","startHours":13.941656202734038,"endHours":15.624116384527348,"quality":"neutral"},{"name":"Labha","start":"15:37","end":"17:18","startHours":15.624116384527348,"endHours":17.306576566320654,"quality":"auspicious"},{"name":"Amṛta","start":"17:18","end":"18:59","startHours":17.306576566320654,"endHours":18.989036748113964,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:59","end":"20:18","startHours":18.989036748113964,"endHours":20.306576566320654,"quality":"neutral"},{"name":"Labha","start":"20:18","end":"21:37","startHours":20.306576566320654,"endHours":21.624116384527348,"quality":"auspicious"},{"name":"Amṛta","start":"21:37","end":"22:56","startHours":21.624116384527348,"endHours":22.941656202734038,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:16","startHours":22.941656202734038,"endHours":24.259196020940728,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:35","startHours":24.259196020940728,"endHours":25.576735839147418,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"02:54","startHours":25.576735839147418,"endHours":26.894275657354108,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:13","startHours":26.894275657354108,"endHours":28.2118154755608,"quality":"inauspicious"},{"name":"Chala","start":"04:13","end":"05:32","startHours":28.2118154755608,"endHours":29.52935529376749,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.529355293767492,"endHours":6.529355293767492,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.529355293767492,"endHours":7.529355293767492,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.529355293767492,"endHours":8.529355293767491,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.529355293767491,"endHours":9.529355293767491,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.529355293767491,"endHours":10.529355293767491,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.529355293767491,"endHours":11.529355293767491,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.529355293767491,"endHours":12.529355293767491,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.529355293767491,"endHours":13.529355293767491,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.529355293767491,"endHours":14.529355293767491,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.529355293767491,"endHours":15.529355293767491,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.529355293767491,"endHours":16.52935529376749,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.52935529376749,"endHours":17.52935529376749,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.52935529376749,"endHours":18.52935529376749,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.52935529376749,"endHours":19.52935529376749,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.52935529376749,"endHours":20.52935529376749,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.52935529376749,"endHours":21.52935529376749,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.52935529376749,"endHours":22.52935529376749,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.52935529376749,"endHours":23.52935529376749,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.52935529376749,"endHours":24.52935529376749,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.52935529376749,"endHours":25.52935529376749,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.52935529376749,"endHours":26.52935529376749,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.52935529376749,"endHours":27.52935529376749,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.52935529376749,"endHours":28.52935529376749,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.52935529376749,"endHours":29.52935529376749,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.353459635958753,"eotMinutes":3.7534387435564067,"ayanamsa":23.4111}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Pratipada · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"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":[]},"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 May 13, 1968 CE · Mathurā · Vidhyamitra","description":"May 13, 1968 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 05:32, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-05-13","sa":"https://sa.vidhyamitra.com/city/mathura/1968-05-13","hi":"https://hi.vidhyamitra.com/city/mathura/1968-05-13","x-default":"https://vidhyamitra.com/city/mathura/1968-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:15:41.746Z","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":"2026-05-14T12:15:41.747Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:15:41.747Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}