{"id":"vidhyamitra:city-day:mathura:2150-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2150-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2150-07-04","date_display":"July 4, 2150 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2150,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506515.770833,"kali_year":5252,"ahargana":1918050.2708,"sun":{"sidereal_longitude":75.5006,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":188.5787,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.0781,"elapsed_within_tithi_degrees":5.0781},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.5787,"elapsed_within_degrees":1.9121},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0793},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2150,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2506515.770833,"ahargana":1918050.2708,"kali_year":5252,"ayanamsa_lahiri":25.9554,"grahas":{"sun":{"sidereal_longitude":76.20052299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":191.82692299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":4.0399},"mars":{"sidereal_longitude":18.00152300000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":99.99672299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":249.92982300000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"venus":{"sidereal_longitude":54.09342300000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":65.57572299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":72.4663,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":252.4663,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2150,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506515.770833,"kali_year":5252,"ahargana":1918050.2708,"sun":{"sidereal_longitude":75.5006,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":188.5787,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.0781,"elapsed_within_tithi_degrees":5.0781},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.5787,"elapsed_within_degrees":1.9121},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0793},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.04,"elongation":113.078},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.04,"opposition_distance":66.922}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-0.445,"elongation":0.28},{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":-0.876,"opposition_distance":2.202}]},"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":13.831144008033563,"dayLengthDisplay":"13 Hours 49 Mins 52 Secs","nightLengthDisplay":"10 Hours 10 Mins 08 Secs","moonriseLocal":"14:33","moonsetLocal":"01:39","rahuKala":{"name":"Rāhu Kāla","start":"08:56","end":"10:40","startHours":8.930955885600978,"endHours":10.659848886605175,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:51","startHours":14.117634888613566,"endHours":15.84652788961776,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:12","startHours":5.473169883592588,"endHours":7.202062884596783,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.70043681880042,"endHours":9.161474952401537,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.049467550593986,"endHours":6.418298057474882,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.927703754008252,"endHours":12.849780021210488,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.629017349188113,"endHours":4.55109361639035,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:28","startHours":4.320574549589791,"endHours":5.473169883592588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.693932555614964,"endHours":15.616008822817202,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.104313891626152,"endHours":19.50431389162615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.30431389162615,"endHours":19.88061155862755,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.05431389162615,"endHours":20.80431389162615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.927703754008252,"endHours":24.84978002121049,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:12","startHours":5.473169883592588,"endHours":7.202062884596783,"quality":"inauspicious"},{"name":"Śubha","start":"07:12","end":"08:56","startHours":7.202062884596783,"endHours":8.930955885600978,"quality":"auspicious"},{"name":"Roga","start":"08:56","end":"10:40","startHours":8.930955885600978,"endHours":10.659848886605175,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:23","startHours":10.659848886605175,"endHours":12.38874188760937,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.117634888613566,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:51","startHours":14.117634888613566,"endHours":15.84652788961776,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:35","startHours":15.84652788961776,"endHours":17.575420890621956,"quality":"auspicious"},{"name":"Kāla","start":"17:35","end":"19:18","startHours":17.575420890621956,"endHours":19.30431389162615,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:18","end":"20:35","startHours":19.30431389162615,"endHours":20.575420890621956,"quality":"auspicious"},{"name":"Amṛta","start":"20:35","end":"21:51","startHours":20.575420890621956,"endHours":21.84652788961776,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:07","startHours":21.84652788961776,"endHours":23.117634888613566,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:23","startHours":23.117634888613566,"endHours":24.38874188760937,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:40","startHours":24.38874188760937,"endHours":25.659848886605175,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"02:56","startHours":25.659848886605175,"endHours":26.93095588560098,"quality":"inauspicious"},{"name":"Chala","start":"02:56","end":"04:12","startHours":26.93095588560098,"endHours":28.202062884596785,"quality":"neutral"},{"name":"Labha","start":"04:12","end":"05:28","startHours":28.202062884596785,"endHours":29.47316988359259,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.473169883592588,"endHours":6.473169883592588,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.473169883592588,"endHours":7.473169883592588,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.473169883592588,"endHours":8.473169883592588,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.473169883592588,"endHours":9.473169883592588,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.473169883592588,"endHours":10.473169883592588,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.473169883592588,"endHours":11.473169883592588,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.473169883592588,"endHours":12.473169883592588,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.473169883592588,"endHours":13.473169883592588,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.473169883592588,"endHours":14.473169883592588,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.473169883592588,"endHours":15.473169883592588,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.473169883592588,"endHours":16.47316988359259,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.47316988359259,"endHours":17.47316988359259,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.47316988359259,"endHours":18.47316988359259,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.47316988359259,"endHours":19.47316988359259,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.47316988359259,"endHours":20.47316988359259,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.47316988359259,"endHours":21.47316988359259,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.47316988359259,"endHours":22.47316988359259,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.47316988359259,"endHours":23.47316988359259,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.47316988359259,"endHours":24.47316988359259,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.47316988359259,"endHours":25.47316988359259,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.47316988359259,"endHours":26.47316988359259,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.47316988359259,"endHours":27.47316988359259,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.47316988359259,"endHours":28.47316988359259,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.47316988359259,"endHours":29.47316988359259,"planetary_lord":"Mercury"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.880758790901307,"eotMinutes":-4.019313256562166,"ayanamsa":25.9554}},"calendars":{"vikram_samvat":2207,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":2072,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1557,"malayalam_era":1326,"nanakshahi_year":681,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Daśamī · Vikram 2207 Rudhirodgāri · Śaka 2072 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 4, 2150 CE · Mathurā · Vidhyamitra","description":"July 4, 2150 CE for Mathurā: Śukla Daśamī, sūryodaya 05:28, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2150-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2150-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/2150-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/2150-07-04","x-default":"https://vidhyamitra.com/city/mathura/2150-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:02:54.165Z","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":"2026-08-10T11:02:54.165Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:02:54.165Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}