{"id":"vidhyamitra:city-day:kolhapur:2161-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2161-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-05-31","date_display":"May 31, 2161 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":2161,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510499.770833,"kali_year":5263,"ahargana":1922034.2708,"sun":{"sidereal_longitude":43.3914,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":117.9734,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.582,"elapsed_within_tithi_degrees":2.582},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.9734,"elapsed_within_degrees":11.3067},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3648},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2161,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510499.770833,"ahargana":1922034.2708,"kali_year":5263,"ayanamsa_lahiri":26.1078,"grahas":{"sun":{"sidereal_longitude":43.87850500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":118.021705,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-4.3772},"mars":{"sidereal_longitude":298.365905,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":16.891705,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":222.96680500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":359.066005,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":199.80080499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":221.3749,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.3749,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2161,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510499.770833,"kali_year":5263,"ahargana":1922034.2708,"sun":{"sidereal_longitude":43.3914,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":117.9734,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.582,"elapsed_within_tithi_degrees":2.582},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.9734,"elapsed_within_degrees":11.3067},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3648},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.377,"elongation":74.582},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.377,"opposition_distance":105.418}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":0.47,"elongation":1.974},{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":0.876,"opposition_distance":1.187}]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"05:59","sunsetLocal":"19:02","solarNoonLocal":"12:31","dayLengthHours":13.052067991198193,"dayLengthDisplay":"13 Hours 03 Mins 07 Secs","nightLengthDisplay":"10 Hours 56 Mins 53 Secs","moonriseLocal":"11:08","moonsetLocal":"23:46","rahuKala":{"name":"Rāhu Kāla","start":"17:24","end":"19:02","startHours":17.403312717396993,"endHours":19.034821216296766,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:31","end":"14:08","startHours":12.50878722069767,"endHours":14.140295719597443,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:46","end":"17:24","startHours":15.77180421849722,"endHours":17.403312717396993,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:28","startHours":9.028235756378152,"endHours":9.463304689418091,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.526589391398499,"endHours":6.87464453783045,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:57","startHours":12.07371828765773,"endHours":12.94385615373761,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:07","startHours":4.242477492938815,"endHours":5.112615359018695,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:59","startHours":4.895080892498725,"endHours":5.982753225098574,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:33","startHours":14.684131885897369,"endHours":15.554269751977248,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.834821216296767,"endHours":19.234821216296766,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:35","startHours":19.034821216296766,"endHours":19.578657382596692,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.784821216296766,"endHours":20.534821216296766,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:57","startHours":24.07371828765773,"endHours":24.94385615373761,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:59","end":"07:37","startHours":5.982753225098574,"endHours":7.614261723998348,"quality":"inauspicious"},{"name":"Chala","start":"07:37","end":"09:15","startHours":7.614261723998348,"endHours":9.245770222898123,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:53","startHours":9.245770222898123,"endHours":10.877278721797897,"quality":"auspicious"},{"name":"Amṛta","start":"10:53","end":"12:31","startHours":10.877278721797897,"endHours":12.50878722069767,"quality":"auspicious"},{"name":"Kāla","start":"12:31","end":"14:08","startHours":12.50878722069767,"endHours":14.140295719597443,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"15:46","startHours":14.140295719597443,"endHours":15.77180421849722,"quality":"auspicious"},{"name":"Roga","start":"15:46","end":"17:24","startHours":15.77180421849722,"endHours":17.403312717396993,"quality":"inauspicious"},{"name":"Udveg","start":"17:24","end":"19:02","startHours":17.403312717396993,"endHours":19.034821216296766,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:02","end":"20:24","startHours":19.034821216296766,"endHours":20.403312717396993,"quality":"auspicious"},{"name":"Roga","start":"20:24","end":"21:46","startHours":20.403312717396993,"endHours":21.771804218497216,"quality":"inauspicious"},{"name":"Udveg","start":"21:46","end":"23:08","startHours":21.771804218497216,"endHours":23.140295719597443,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:31","startHours":23.140295719597443,"endHours":24.50878722069767,"quality":"neutral"},{"name":"Labha","start":"00:31","end":"01:53","startHours":24.50878722069767,"endHours":25.877278721797897,"quality":"auspicious"},{"name":"Amṛta","start":"01:53","end":"03:15","startHours":25.877278721797897,"endHours":27.245770222898123,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:37","startHours":27.245770222898123,"endHours":28.614261723998347,"quality":"inauspicious"},{"name":"Śubha","start":"04:37","end":"05:59","startHours":28.614261723998347,"endHours":29.982753225098573,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.982753225098574,"endHours":6.982753225098574,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.982753225098574,"endHours":7.982753225098574,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.982753225098574,"endHours":8.982753225098573,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.982753225098573,"endHours":9.982753225098573,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.982753225098573,"endHours":10.982753225098573,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.982753225098573,"endHours":11.982753225098573,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.982753225098573,"endHours":12.982753225098573,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.982753225098573,"endHours":13.982753225098573,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.982753225098573,"endHours":14.982753225098573,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.982753225098573,"endHours":15.982753225098573,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.982753225098573,"endHours":16.982753225098573,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.982753225098573,"endHours":17.982753225098573,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.982753225098573,"endHours":18.982753225098573,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.982753225098573,"endHours":19.982753225098573,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.982753225098573,"endHours":20.982753225098573,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.982753225098573,"endHours":21.982753225098573,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.982753225098573,"endHours":22.982753225098573,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.982753225098573,"endHours":23.982753225098573,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.982753225098573,"endHours":24.982753225098573,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.982753225098573,"endHours":25.982753225098573,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.982753225098573,"endHours":26.982753225098573,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.982753225098573,"endHours":27.982753225098573,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.982753225098573,"endHours":28.982753225098573,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.982753225098573,"endHours":29.982753225098573,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.944835990395063,"eotMinutes":2.4995667581397525,"ayanamsa":26.1078}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Saptamī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 31, 2161 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 31, 2161 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 05:59, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2161-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2161-05-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2161-05-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2161-05-31","x-default":"https://vidhyamitra.com/city/kolhapur/2161-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:02:40.675Z","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":"2026-05-31T15:02:40.675Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:02:40.675Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}