{"id":"vidhyamitra:city-day:vrindavan:2041-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2041-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-07-15","date_display":"July 15, 2041 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":2041,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466715.770833,"kali_year":5143,"ahargana":1878250.2708,"sun":{"sidereal_longitude":88.0007,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":283.5141,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.5135,"elapsed_within_tithi_degrees":3.5135},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5141,"elapsed_within_degrees":3.5141},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.5148},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":2041,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466715.770833,"ahargana":1878250.2708,"kali_year":5143,"ayanamsa_lahiri":24.4332,"grahas":{"sun":{"sidereal_longitude":88.528075,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":286.025175,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-4.4588},"mars":{"sidereal_longitude":40.799575000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":73.26207499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":178.21557499999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":47.497375000000034,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":172.97907499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":21.2619,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.2619,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466715.770833,"kali_year":5143,"ahargana":1878250.2708,"sun":{"sidereal_longitude":88.0007,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":283.5141,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.5135,"elapsed_within_tithi_degrees":3.5135},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5141,"elapsed_within_degrees":3.5141},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.5148},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.459,"elongation":164.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.459,"opposition_distance":15.513}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.718562388267692,"dayLengthDisplay":"13 Hours 43 Mins 07 Secs","nightLengthDisplay":"10 Hours 16 Mins 53 Secs","moonriseLocal":"20:10","moonsetLocal":"07:00","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.2713126228392015,"endHours":8.986132921372663,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.700953219906125,"endHours":12.415773518439586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.130593816973047,"endHours":15.84541411550651,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757490214901534,"endHours":9.21477562784379,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.128099090483561,"endHours":6.493927420837366,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.958488105497329,"endHours":12.873058931381843,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7273506725367147,"endHours":4.641921498421227,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.413278791950099,"endHours":5.55649232430574,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702200583150868,"endHours":15.61677140903538,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.075054712573433,"endHours":19.47505471257343,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.275054712573432,"endHours":19.84666147875125,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.025054712573432,"endHours":20.775054712573432,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.95848810549733,"endHours":24.87305893138184,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.55649232430574,"endHours":7.2713126228392015,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.2713126228392015,"endHours":8.986132921372663,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.986132921372663,"endHours":10.700953219906125,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.700953219906125,"endHours":12.415773518439586,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.415773518439586,"endHours":14.130593816973047,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.130593816973047,"endHours":15.84541411550651,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.84541411550651,"endHours":17.56023441403997,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:17","startHours":17.56023441403997,"endHours":19.275054712573432,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:34","startHours":19.275054712573432,"endHours":20.56023441403997,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.56023441403997,"endHours":21.845414115506507,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.845414115506507,"endHours":23.130593816973047,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.130593816973047,"endHours":24.415773518439586,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.415773518439586,"endHours":25.700953219906125,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.700953219906125,"endHours":26.986132921372665,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.986132921372665,"endHours":28.2713126228392,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.2713126228392,"endHours":29.55649232430574,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.55649232430574,"endHours":6.55649232430574,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.55649232430574,"endHours":7.55649232430574,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.55649232430574,"endHours":8.55649232430574,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.55649232430574,"endHours":9.55649232430574,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.55649232430574,"endHours":10.55649232430574,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.55649232430574,"endHours":11.55649232430574,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.55649232430574,"endHours":12.55649232430574,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.55649232430574,"endHours":13.55649232430574,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.55649232430574,"endHours":14.55649232430574,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.55649232430574,"endHours":15.55649232430574,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.55649232430574,"endHours":16.55649232430574,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55649232430574,"endHours":17.55649232430574,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55649232430574,"endHours":18.55649232430574,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55649232430574,"endHours":19.55649232430574,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55649232430574,"endHours":20.55649232430574,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55649232430574,"endHours":21.55649232430574,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55649232430574,"endHours":22.55649232430574,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55649232430574,"endHours":23.55649232430574,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55649232430574,"endHours":24.55649232430574,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55649232430574,"endHours":25.55649232430574,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55649232430574,"endHours":26.55649232430574,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55649232430574,"endHours":27.55649232430574,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55649232430574,"endHours":28.55649232430574,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55649232430574,"endHours":29.55649232430574,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","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":21.482659069177142,"eotMinutes":-5.583611106375076,"ayanamsa":24.4332}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvitīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"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":"vrindavan"},"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, 2041 CE · Vṛndāvana · Vidhyamitra","description":"July 15, 2041 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2041-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2041-07-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2041-07-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2041-07-15","x-default":"https://vidhyamitra.com/city/vrindavan/2041-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:17:47.072Z","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":"2026-06-01T00:17:47.072Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:17:47.072Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}