{"id":"vidhyamitra:city-day:vrindavan:2041-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2041-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-10-04","date_display":"October 4, 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":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466796.770833,"kali_year":5143,"ahargana":1878331.2708,"sun":{"sidereal_longitude":165.9172,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":270.7525,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.8354,"elapsed_within_tithi_degrees":8.8354},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.7525,"elapsed_within_degrees":4.0858},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":76.6697},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466796.770833,"ahargana":1878331.2708,"kali_year":5143,"ayanamsa_lahiri":24.4363,"grahas":{"sun":{"sidereal_longitude":166.764181,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":268.176781,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-4.3206},"mars":{"sidereal_longitude":92.46128099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":169.026881,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":190.87618099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":144.13688100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":180.12798099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":16.9701,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":196.9701,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":"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":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466796.770833,"kali_year":5143,"ahargana":1878331.2708,"sun":{"sidereal_longitude":165.9172,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":270.7525,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.8354,"elapsed_within_tithi_degrees":8.8354},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.7525,"elapsed_within_degrees":4.0858},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":76.6697},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.321,"elongation":104.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.321,"opposition_distance":75.165}},"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":"06:13","sunsetLocal":"18:02","solarNoonLocal":"12:07","dayLengthHours":11.816630093186497,"dayLengthDisplay":"11 Hours 49 Mins 00 Secs","nightLengthDisplay":"12 Hours 11 Mins 00 Secs","moonriseLocal":"13:38","moonsetLocal":"00:08","rahuKala":{"name":"Rāhu Kāla","start":"10:39","end":"12:07","startHours":10.644016851890184,"endHours":12.121095613538497,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:05","end":"16:33","startHours":15.07525313683512,"endHours":16.552331898483434,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:41","end":"09:10","startHours":7.68985932859356,"endHours":9.166938090241871,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.96999425535543,"endHours":9.363881925128313,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.705140154161351,"endHours":7.020250289979658,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.727207943765613,"endHours":12.51498328331138,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:26","startHours":4.637229887853715,"endHours":5.425005227399481,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:13","startHours":5.228061392513039,"endHours":6.212780566945248,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.090533962402912,"endHours":14.878309301948677,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.829410660131746,"endHours":18.229410660131744,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:31","startHours":18.029410660131745,"endHours":18.52177024734785,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.779410660131745,"endHours":19.529410660131745,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.727207943765613,"endHours":24.51498328331138,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:13","end":"07:41","startHours":6.212780566945248,"endHours":7.68985932859356,"quality":"neutral"},{"name":"Labha","start":"07:41","end":"09:10","startHours":7.68985932859356,"endHours":9.166938090241871,"quality":"auspicious"},{"name":"Amṛta","start":"09:10","end":"10:39","startHours":9.166938090241871,"endHours":10.644016851890184,"quality":"auspicious"},{"name":"Kāla","start":"10:39","end":"12:07","startHours":10.644016851890184,"endHours":12.121095613538497,"quality":"inauspicious"},{"name":"Śubha","start":"12:07","end":"13:36","startHours":12.121095613538497,"endHours":13.598174375186808,"quality":"auspicious"},{"name":"Roga","start":"13:36","end":"15:05","startHours":13.598174375186808,"endHours":15.07525313683512,"quality":"inauspicious"},{"name":"Udveg","start":"15:05","end":"16:33","startHours":15.07525313683512,"endHours":16.552331898483434,"quality":"inauspicious"},{"name":"Chala","start":"16:33","end":"18:02","startHours":16.552331898483434,"endHours":18.029410660131745,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:33","startHours":18.029410660131745,"endHours":19.552331898483434,"quality":"inauspicious"},{"name":"Udveg","start":"19:33","end":"21:05","startHours":19.552331898483434,"endHours":21.075253136835123,"quality":"inauspicious"},{"name":"Chala","start":"21:05","end":"22:36","startHours":21.075253136835123,"endHours":22.598174375186808,"quality":"neutral"},{"name":"Labha","start":"22:36","end":"00:07","startHours":22.598174375186808,"endHours":24.121095613538497,"quality":"auspicious"},{"name":"Amṛta","start":"00:07","end":"01:39","startHours":24.121095613538497,"endHours":25.644016851890186,"quality":"auspicious"},{"name":"Kāla","start":"01:39","end":"03:10","startHours":25.644016851890186,"endHours":27.16693809024187,"quality":"inauspicious"},{"name":"Śubha","start":"03:10","end":"04:41","startHours":27.16693809024187,"endHours":28.68985932859356,"quality":"auspicious"},{"name":"Roga","start":"04:41","end":"06:13","startHours":28.68985932859356,"endHours":30.21278056694525,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.212780566945248,"endHours":7.212780566945248,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.212780566945248,"endHours":8.212780566945248,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.212780566945248,"endHours":9.212780566945248,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.212780566945248,"endHours":10.212780566945248,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.212780566945248,"endHours":11.212780566945248,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.212780566945248,"endHours":12.212780566945248,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.212780566945248,"endHours":13.212780566945248,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.212780566945248,"endHours":14.212780566945248,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.212780566945248,"endHours":15.212780566945248,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.212780566945248,"endHours":16.21278056694525,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.21278056694525,"endHours":17.21278056694525,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.21278056694525,"endHours":18.21278056694525,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.21278056694525,"endHours":19.21278056694525,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.21278056694525,"endHours":20.21278056694525,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.21278056694525,"endHours":21.21278056694525,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.21278056694525,"endHours":22.21278056694525,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.21278056694525,"endHours":23.21278056694525,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.21278056694525,"endHours":24.21278056694525,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.21278056694525,"endHours":25.21278056694525,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.21278056694525,"endHours":26.21278056694525,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.21278056694525,"endHours":27.21278056694525,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.21278056694525,"endHours":28.21278056694525,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.21278056694525,"endHours":29.21278056694525,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.21278056694525,"endHours":30.21278056694525,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.430891249194277,"eotMinutes":12.09706318769023,"ayanamsa":24.4363}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 4, 2041 CE · Vṛndāvana · Vidhyamitra","description":"October 4, 2041 CE for Vṛndāvana: Śukla Navamī, sūryodaya 06:13, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2041-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2041-10-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2041-10-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2041-10-04","x-default":"https://vidhyamitra.com/city/vrindavan/2041-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:22:28.104Z","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":"2026-06-02T03:22:28.104Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:22:28.104Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}