{"id":"vidhyamitra:city-day:perth:2045-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2045-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-31","date_display":"October 31, 2045 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":2045,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468284.770833,"kali_year":5147,"ahargana":1879819.2708,"sun":{"sidereal_longitude":192.7284,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.8198,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.0913,"elapsed_within_tithi_degrees":4.0913},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.8198,"elapsed_within_degrees":10.1531},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.5482},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2045,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468284.770833,"ahargana":1879819.2708,"kali_year":5147,"ayanamsa_lahiri":24.4932,"grahas":{"sun":{"sidereal_longitude":193.52792799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":77.10722800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":2.9688},"mars":{"sidereal_longitude":137.42282799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":216.15482799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":308.0499279999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":239.50392799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":224.779228,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.1287,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.1287,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468284.770833,"kali_year":5147,"ahargana":1879819.2708,"sun":{"sidereal_longitude":192.7284,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.8198,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.0913,"elapsed_within_tithi_degrees":4.0913},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.8198,"elapsed_within_degrees":10.1531},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.5482},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.969,"elongation":115.909},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.969,"opposition_distance":64.091}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:20","sunsetLocal":"18:40","solarNoonLocal":"12:00","dayLengthHours":13.345865384664325,"dayLengthDisplay":"13 Hours 20 Mins 45 Secs","nightLengthDisplay":"10 Hours 39 Mins 15 Secs","moonriseLocal":"23:13","moonsetLocal":"09:16","rahuKala":{"name":"Rāhu Kāla","start":"15:20","end":"17:00","startHours":15.338220020323945,"endHours":17.006453193406987,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:40","end":"10:20","startHours":8.665287327991782,"endHours":10.333520501074823,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:00","end":"13:40","startHours":12.001753674157865,"endHours":13.669986847240903,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:53","startHours":8.442856238247376,"endHours":8.887718417736188,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.884898706186714,"endHours":6.240788449777763,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:27","startHours":11.556891494669053,"endHours":12.446615853646673,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:26","startHours":3.549372263870458,"endHours":4.439096622848079,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:13","end":"05:20","startHours":4.216665533103674,"endHours":5.328820981825701,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:07","startHours":14.226064571601917,"endHours":15.115788930579539,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.474686366490026,"endHours":18.874686366490025,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:14","startHours":18.674686366490025,"endHours":19.23076409085104,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.424686366490025,"endHours":20.174686366490025,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:27","startHours":23.55689149466905,"endHours":24.446615853646673,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:20","end":"07:00","startHours":5.328820981825701,"endHours":6.997054154908742,"quality":"inauspicious"},{"name":"Udveg","start":"07:00","end":"08:40","startHours":6.997054154908742,"endHours":8.665287327991782,"quality":"inauspicious"},{"name":"Chala","start":"08:40","end":"10:20","startHours":8.665287327991782,"endHours":10.333520501074823,"quality":"neutral"},{"name":"Labha","start":"10:20","end":"12:00","startHours":10.333520501074823,"endHours":12.001753674157865,"quality":"auspicious"},{"name":"Amṛta","start":"12:00","end":"13:40","startHours":12.001753674157865,"endHours":13.669986847240903,"quality":"auspicious"},{"name":"Kāla","start":"13:40","end":"15:20","startHours":13.669986847240903,"endHours":15.338220020323945,"quality":"inauspicious"},{"name":"Śubha","start":"15:20","end":"17:00","startHours":15.338220020323945,"endHours":17.006453193406987,"quality":"auspicious"},{"name":"Roga","start":"17:00","end":"18:40","startHours":17.006453193406987,"endHours":18.674686366490025,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:40","end":"20:00","startHours":18.674686366490025,"endHours":20.006453193406983,"quality":"inauspicious"},{"name":"Śubha","start":"20:00","end":"21:20","startHours":20.006453193406983,"endHours":21.338220020323945,"quality":"auspicious"},{"name":"Roga","start":"21:20","end":"22:40","startHours":21.338220020323945,"endHours":22.669986847240903,"quality":"inauspicious"},{"name":"Udveg","start":"22:40","end":"00:00","startHours":22.669986847240903,"endHours":24.00175367415786,"quality":"inauspicious"},{"name":"Chala","start":"00:00","end":"01:20","startHours":24.00175367415786,"endHours":25.333520501074823,"quality":"neutral"},{"name":"Labha","start":"01:20","end":"02:40","startHours":25.333520501074823,"endHours":26.66528732799178,"quality":"auspicious"},{"name":"Amṛta","start":"02:40","end":"04:00","startHours":26.66528732799178,"endHours":27.99705415490874,"quality":"auspicious"},{"name":"Kāla","start":"04:00","end":"05:20","startHours":27.99705415490874,"endHours":29.3288209818257,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.328820981825701,"endHours":6.328820981825701,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.328820981825701,"endHours":7.328820981825701,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.328820981825701,"endHours":8.3288209818257,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.3288209818257,"endHours":9.3288209818257,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.3288209818257,"endHours":10.3288209818257,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.3288209818257,"endHours":11.3288209818257,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.3288209818257,"endHours":12.3288209818257,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.3288209818257,"endHours":13.3288209818257,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.3288209818257,"endHours":14.3288209818257,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.3288209818257,"endHours":15.3288209818257,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.3288209818257,"endHours":16.3288209818257,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.3288209818257,"endHours":17.3288209818257,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.3288209818257,"endHours":18.3288209818257,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.3288209818257,"endHours":19.3288209818257,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.3288209818257,"endHours":20.3288209818257,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.3288209818257,"endHours":21.3288209818257,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.3288209818257,"endHours":22.3288209818257,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.3288209818257,"endHours":23.3288209818257,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.3288209818257,"endHours":24.3288209818257,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.3288209818257,"endHours":25.3288209818257,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.3288209818257,"endHours":26.3288209818257,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.3288209818257,"endHours":27.3288209818257,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.3288209818257,"endHours":28.3288209818257,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.3288209818257,"endHours":29.3288209818257,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.180894731737245,"eotMinutes":16.45277955052819,"ayanamsa":24.4932}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 31, 2045 CE · Perth, Australia · Vidhyamitra","description":"October 31, 2045 CE for Perth, Australia: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:20, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2045-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2045-10-31","sa":"https://sa.vidhyamitra.com/city/perth/2045-10-31","hi":"https://hi.vidhyamitra.com/city/perth/2045-10-31","x-default":"https://vidhyamitra.com/city/perth/2045-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T09:00:41.116Z","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":"2026-06-02T09:00:41.116Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T09:00:41.116Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}