{"id":"vidhyamitra:city-day:mathura:1968-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-07-04","date_display":"July 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440041.770833,"kali_year":5070,"ahargana":1851576.2708,"sun":{"sidereal_longitude":78.4286,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":178.0411,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.6125,"elapsed_within_tithi_degrees":3.6125},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.0411,"elapsed_within_degrees":4.7078},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4697},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440041.770833,"ahargana":1851576.2708,"kali_year":5070,"ayanamsa_lahiri":23.413,"grahas":{"sun":{"sidereal_longitude":78.71211800000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":175.363118,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-0.2715},"mars":{"sidereal_longitude":75.58401800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":60.64041800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":129.967418,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":82.91611799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":1.7264180000000238,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":354.5788,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":174.5788,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440041.770833,"kali_year":5070,"ahargana":1851576.2708,"sun":{"sidereal_longitude":78.4286,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":178.0411,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.6125,"elapsed_within_tithi_degrees":3.6125},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.0411,"elapsed_within_degrees":4.7078},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4697},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.271,"elongation":99.613},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.271,"opposition_distance":80.387}},"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":"05:28","sunsetLocal":"19:18","solarNoonLocal":"12:23","dayLengthHours":13.831382250622553,"dayLengthDisplay":"13 Hours 49 Mins 53 Secs","nightLengthDisplay":"10 Hours 10 Mins 07 Secs","moonriseLocal":"13:03","moonsetLocal":"00:37","rahuKala":{"name":"Rāhu Kāla","start":"14:07","end":"15:51","startHours":14.117664668937188,"endHours":15.846587450265009,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:28","end":"07:12","startHours":5.473050762298093,"endHours":7.201973543625912,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:56","end":"10:40","startHours":8.930896324953732,"endHours":10.65981910628155,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.700373287443355,"endHours":9.161419362464107,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.049358356074032,"endHours":6.418195216090634,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.927695812588619,"endHours":12.849787962630122,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.6288664622150857,"endHours":4.550958612256589,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:28","startHours":4.320435574746213,"endHours":5.473050762298093,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.693972262713128,"endHours":15.616064412754632,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.104433012920648,"endHours":19.504433012920646,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.304433012920647,"endHours":19.880740606696587,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.054433012920647,"endHours":20.804433012920647,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.92769581258862,"endHours":24.84978796263012,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:28","end":"07:12","startHours":5.473050762298093,"endHours":7.201973543625912,"quality":"auspicious"},{"name":"Roga","start":"07:12","end":"08:56","startHours":7.201973543625912,"endHours":8.930896324953732,"quality":"inauspicious"},{"name":"Udveg","start":"08:56","end":"10:40","startHours":8.930896324953732,"endHours":10.65981910628155,"quality":"inauspicious"},{"name":"Chala","start":"10:40","end":"12:23","startHours":10.65981910628155,"endHours":12.38874188760937,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.117664668937188,"quality":"auspicious"},{"name":"Amṛta","start":"14:07","end":"15:51","startHours":14.117664668937188,"endHours":15.846587450265009,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:35","startHours":15.846587450265009,"endHours":17.575510231592826,"quality":"inauspicious"},{"name":"Śubha","start":"17:35","end":"19:18","startHours":17.575510231592826,"endHours":19.304433012920647,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:18","end":"20:35","startHours":19.304433012920647,"endHours":20.57551023159283,"quality":"auspicious"},{"name":"Kāla","start":"20:35","end":"21:51","startHours":20.57551023159283,"endHours":21.84658745026501,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:07","startHours":21.84658745026501,"endHours":23.117664668937188,"quality":"auspicious"},{"name":"Roga","start":"23:07","end":"00:23","startHours":23.117664668937188,"endHours":24.38874188760937,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:40","startHours":24.38874188760937,"endHours":25.659819106281553,"quality":"inauspicious"},{"name":"Chala","start":"01:40","end":"02:56","startHours":25.659819106281553,"endHours":26.930896324953732,"quality":"neutral"},{"name":"Labha","start":"02:56","end":"04:12","startHours":26.930896324953732,"endHours":28.20197354362591,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"05:28","startHours":28.20197354362591,"endHours":29.473050762298094,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.473050762298093,"endHours":6.473050762298093,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.473050762298093,"endHours":7.473050762298093,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.473050762298093,"endHours":8.473050762298094,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.473050762298094,"endHours":9.473050762298094,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.473050762298094,"endHours":10.473050762298094,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.473050762298094,"endHours":11.473050762298094,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.473050762298094,"endHours":12.473050762298094,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.473050762298094,"endHours":13.473050762298094,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.473050762298094,"endHours":14.473050762298094,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.473050762298094,"endHours":15.473050762298094,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.473050762298094,"endHours":16.473050762298094,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.473050762298094,"endHours":17.473050762298094,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.473050762298094,"endHours":18.473050762298094,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.473050762298094,"endHours":19.473050762298094,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.473050762298094,"endHours":20.473050762298094,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.473050762298094,"endHours":21.473050762298094,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.473050762298094,"endHours":22.473050762298094,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.473050762298094,"endHours":23.473050762298094,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.473050762298094,"endHours":24.473050762298094,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.473050762298094,"endHours":25.473050762298094,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.473050762298094,"endHours":26.473050762298094,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.473050762298094,"endHours":27.473050762298094,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.473050762298094,"endHours":28.473050762298094,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.473050762298094,"endHours":29.473050762298094,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","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":22.88355563362285,"eotMinutes":-4.019313256562166,"ayanamsa":23.413}},"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 Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Navamī · 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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 4, 1968 CE · Mathurā · Vidhyamitra","description":"July 4, 1968 CE for Mathurā: Śukla Navamī, sūryodaya 05:28, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/1968-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/1968-07-04","x-default":"https://vidhyamitra.com/city/mathura/1968-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:37:18.543Z","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":"2026-05-14T15:37:18.544Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:37:18.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}